57005376 has 56 divisors (see below), whose sum is σ = 151424640. Its totient is φ = 18926592.

The previous prime is 57005371. The next prime is 57005381. The reversal of 57005376 is 67350075.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (57005371) and next prime (57005381).

It is a super-2 number, since 2×57005376² = 6499225785802752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57005371) 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, 70060 + ... + 70868.

Almost surely, 2^57005376 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 57005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75712320).

57005376 is an abundant number, since it is smaller than the sum of its proper divisors (94419264).

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

57005376 is a wasteful number, since it uses less digits than its factorization.

57005376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1191 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 57005376 is about 7550.1904611738. The cubic root of 57005376 is about 384.8622118947.

The spelling of 57005376 in words is "fifty-seven million, five thousand, three hundred seventy-six".