70560 has 108 divisors (see below), whose sum is σ = 280098. Its totient is φ = 16128.

The previous prime is 70549. The next prime is 70571. The reversal of 70560 is 6507.

It is an interprime number because it is at equal distance from previous prime (70549) and next prime (70571).

It can be written as a sum of positive squares in only one way, i.e., 63504 + 7056 = 252^2 + 84^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

70560 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10077 + ... + 10083.

2^{70560} is an apocalyptic number.

70560 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049).

70560 is an abundant number, since it is smaller than the sum of its proper divisors (209538).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

70560 is a wasteful number, since it uses less digits than its factorization.

70560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 70560 is about 265.6313234541. The cubic root of 70560 is about 41.3224621659.

It can be divided in two parts, 70 and 560, that added together give a triangular number (630 = T_{35}).

The spelling of 70560 in words is "seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 49 56 60 63 70 72 80 84 90 96 98 105 112 120 126 140 144 147 160 168 180 196 210 224 240 245 252 280 288 294 315 336 360 392 420 441 480 490 504 560 588 630 672 720 735 784 840 882 980 1008 1120 1176 1260 1440 1470 1568 1680 1764 1960 2016 2205 2352 2520 2940 3360 3528 3920 4410 4704 5040 5880 7056 7840 8820 10080 11760 14112 17640 23520 35280 70560

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