57465680 has 20 divisors (see below), whose sum is σ = 133607892. Its totient is φ = 22986240.

The previous prime is 57465679. The next prime is 57465689. The reversal of 57465680 is 8656475.

It can be written as a sum of positive squares in 2 ways, for example, as 38837824 + 18627856 = 6232^2 + 4316^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57465689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 359081 + ... + 359240.

Almost surely, 2^57465680 is an apocalyptic number.

It is an amenable number.

57465680 is an abundant number, since it is smaller than the sum of its proper divisors (76142212).

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

57465680 is a wasteful number, since it uses less digits than its factorization.

57465680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718334 (or 718328 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 41.

The square root of 57465680 is about 7580.6121124880. The cubic root of 57465680 is about 385.8953245120.

The spelling of 57465680 in words is "fifty-seven million, four hundred sixty-five thousand, six hundred eighty".