61585460 has 48 divisors (see below), whose sum is σ = 139339200. Its totient is φ = 22788864.

The previous prime is 61585453. The next prime is 61585481. The reversal of 61585460 is 6458516.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 61585460.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14456 + ... + 18224.

It is an arithmetic number, because the mean of its divisors is an integer number (2902900).

Almost surely, 2^61585460 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 61585460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69669600).

61585460 is an abundant number, since it is smaller than the sum of its proper divisors (77753740).

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

61585460 is a wasteful number, since it uses less digits than its factorization.

61585460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 3838 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 61585460 is about 7847.6404097028. The cubic root of 61585460 is about 394.9050885567.

The spelling of 61585460 in words is "sixty-one million, five hundred eighty-five thousand, four hundred sixty".