57961590 has 64 divisors (see below), whose sum is σ = 148919040. Its totient is φ = 14394240.

The previous prime is 57961531. The next prime is 57961591. The reversal of 57961590 is 9516975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57961591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33937 + ... + 35603.

It is an arithmetic number, because the mean of its divisors is an integer number (2326860).

Almost surely, 2^57961590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57961590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74459520).

57961590 is an abundant number, since it is smaller than the sum of its proper divisors (90957450).

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

57961590 is a wasteful number, since it uses less digits than its factorization.

57961590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757.

The product of its (nonzero) digits is 85050, while the sum is 42.

The square root of 57961590 is about 7613.2509481824. The cubic root of 57961590 is about 387.0021967038.

The spelling of 57961590 in words is "fifty-seven million, nine hundred sixty-one thousand, five hundred ninety".