57664376 has 96 divisors (see below), whose sum is σ = 140849280. Its totient is φ = 21873600.

The previous prime is 57664361. The next prime is 57664403. The reversal of 57664376 is 67346675.

It is a super-3 number, since 3×57664376³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185261 + ... + 185571.

It is an arithmetic number, because the mean of its divisors is an integer number (1467180).

Almost surely, 2^57664376 is an apocalyptic number.

57664376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57664376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70424640).

57664376 is an abundant number, since it is smaller than the sum of its proper divisors (83184904).

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

57664376 is a wasteful number, since it uses less digits than its factorization.

57664376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 374 counting only the distinct ones).

The product of its digits is 635040, while the sum is 44.

The square root of 57664376 is about 7593.7063414383. The cubic root of 57664376 is about 386.3395760729.

The spelling of 57664376 in words is "fifty-seven million, six hundred sixty-four thousand, three hundred seventy-six".