61760 has 28 divisors (see below), whose sum is σ = 147828. Its totient is φ = 24576.

The previous prime is 61757. The next prime is 61781. The reversal of 61760 is 6716.

It can be written as a sum of positive squares in 2 ways, for example, as 18496 + 43264 = 136^2 + 208^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 224 + ... + 416.

2^{61760} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73914).

61760 is an abundant number, since it is smaller than the sum of its proper divisors (86068).

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

61760 is a wasteful number, since it uses less digits than its factorization.

With its successor (61761) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (200).

61760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 61760 is about 248.5155930721. The cubic root of 61760 is about 39.5277804893.

It can be divided in two parts, 61 and 760, that multiplied together give a triangular number (46360 = T_{304}).

The spelling of 61760 in words is "sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 193 320 386 772 965 1544 1930 3088 3860 6176 7720 12352 15440 30880 61760

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