57167040 has 224 divisors, whose sum is σ = 213018624. Its totient is φ = 12718080.

The previous prime is 57167027. The next prime is 57167041. The reversal of 57167040 is 4076175.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 57166989 and 57167007.

It is not an unprimeable number, because it can be changed into a prime (57167041) 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, 315750 + ... + 315930.

It is an arithmetic number, because the mean of its divisors is an integer number (950976).

Almost surely, 2^57167040 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 57167040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106509312).

57167040 is an abundant number, since it is smaller than the sum of its proper divisors (155851584).

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

57167040 is a wasteful number, since it uses less digits than its factorization.

57167040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 57167040 is about 7560.8888366382. Note that the first 4 decimals coincide. The cubic root of 57167040 is about 385.2256842872.

The spelling of 57167040 in words is "fifty-seven million, one hundred sixty-seven thousand, forty".