57810816 has 192 divisors, whose sum is σ = 194762880. Its totient is φ = 16118784.

The previous prime is 57810793. The next prime is 57810889. The reversal of 57810816 is 61801875.

57810816 is a `hidden beast` number, since 578 + 1 + 0 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540235 + ... + 540341.

It is an arithmetic number, because the mean of its divisors is an integer number (1014390).

Almost surely, 2^57810816 is an apocalyptic number.

57810816 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 57810816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97381440).

57810816 is an abundant number, since it is smaller than the sum of its proper divisors (136952064).

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

57810816 is a wasteful number, since it uses less digits than its factorization.

57810816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 57810816 is about 7603.3424229085. The cubic root of 57810816 is about 386.6663390141. Note that the first 3 decimals are identical.

Subtracting from 57810816 its product of nonzero digits (13440), we obtain a triangular number (57797376 = T₁₀₇₅₁).

The spelling of 57810816 in words is "fifty-seven million, eight hundred ten thousand, eight hundred sixteen".