57368880 has 240 divisors, whose sum is σ = 210656160. Its totient is φ = 13934592.

The previous prime is 57368869. The next prime is 57368891. The reversal of 57368880 is 8886375.

57368880 = T₉₇₁ + T₉₇₂ + ... + T₁₀₇₉.

It is an interprime number because it is at equal distance from previous prime (57368869) and next prime (57368891).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 526266 + ... + 526374.

It is an arithmetic number, because the mean of its divisors is an integer number (877734).

Almost surely, 2^57368880 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 57368880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105328080).

57368880 is an abundant number, since it is smaller than the sum of its proper divisors (153287280).

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

57368880 is a wasteful number, since it uses less digits than its factorization.

57368880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 57368880 is about 7574.2247128006. The cubic root of 57368880 is about 385.6785246093.

The spelling of 57368880 in words is "fifty-seven million, three hundred sixty-eight thousand, eight hundred eighty".