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.

2⁷⁰⁵⁶⁰ 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 = T₃₅).

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