57734016 has 64 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 19136000.

The previous prime is 57734011. The next prime is 57734029. The reversal of 57734016 is 61043775.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-4 number, since 4×57734016⁴ (a number of 32 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57734011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 96085 + ... + 96683.

It is an arithmetic number, because the mean of its divisors is an integer number (2409750).

Almost surely, 2^57734016 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 57734016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

57734016 is an abundant number, since it is smaller than the sum of its proper divisors (96489984).

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

57734016 is a wasteful number, since it uses less digits than its factorization.

57734016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 57734016 is about 7598.2903340159. The cubic root of 57734016 is about 386.4950381130.

The spelling of 57734016 in words is "fifty-seven million, seven hundred thirty-four thousand, sixteen".