57460896 has 72 divisors (see below), whose sum is σ = 164795904. Its totient is φ = 18990720.

The previous prime is 57460811. The next prime is 57460903. The reversal of 57460896 is 69806475.

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35791 + ... + 37361.

It is an arithmetic number, because the mean of its divisors is an integer number (2288832).

Almost surely, 2^57460896 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 57460896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82397952).

57460896 is an abundant number, since it is smaller than the sum of its proper divisors (107335008).

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

57460896 is a wasteful number, since it uses less digits than its factorization.

57460896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57460896 is about 7580.2965641194. The cubic root of 57460896 is about 385.8846156596.

The spelling of 57460896 in words is "fifty-seven million, four hundred sixty thousand, eight hundred ninety-six".