57934464 has 96 divisors (see below), whose sum is σ = 179071200. Its totient is φ = 16547328.

The previous prime is 57934463. The next prime is 57934469. The reversal of 57934464 is 46443975.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (57934463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17277 + ... + 20355.

It is an arithmetic number, because the mean of its divisors is an integer number (1865325).

Almost surely, 2^57934464 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 57934464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89535600).

57934464 is an abundant number, since it is smaller than the sum of its proper divisors (121136736).

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

57934464 is a wasteful number, since it uses less digits than its factorization.

57934464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3091 counting only the distinct ones).

The product of its digits is 362880, while the sum is 42.

The square root of 57934464 is about 7611.4692405606. The cubic root of 57934464 is about 386.9418149943.

The spelling of 57934464 in words is "fifty-seven million, nine hundred thirty-four thousand, four hundred sixty-four".