61685760 has 120 divisors (see below), whose sum is σ = 198174816. Its totient is φ = 16384000.

The previous prime is 61685759. The next prime is 61685777. The reversal of 61685760 is 6758616.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245635 + ... + 245885.

Almost surely, 2^61685760 is an apocalyptic number.

61685760 is a gapful number since it is divisible by the number (60) 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 61685760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99087408).

61685760 is an abundant number, since it is smaller than the sum of its proper divisors (136489056).

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

61685760 is an equidigital number, since it uses as much as digits as its factorization.

61685760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 61685760 is about 7854.0282658009. The cubic root of 61685760 is about 395.1193571898.

The spelling of 61685760 in words is "sixty-one million, six hundred eighty-five thousand, seven hundred sixty".