57683808 has 288 divisors, whose sum is σ = 211341312. Its totient is φ = 14515200.

The previous prime is 57683803. The next prime is 57683809. The reversal of 57683808 is 80838675.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57683803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812413 + ... + 812483.

It is an arithmetic number, because the mean of its divisors is an integer number (733824).

Almost surely, 2^57683808 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 57683808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

57683808 is an abundant number, since it is smaller than the sum of its proper divisors (153657504).

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

57683808 is a wasteful number, since it uses less digits than its factorization.

57683808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 127 counting only the distinct ones).

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

The square root of 57683808 is about 7594.9857142723. The cubic root of 57683808 is about 386.3829680133.

It can be divided in two parts, 57 and 683808, that added together give a triangular number (683865 = T₁₁₆₉).

The spelling of 57683808 in words is "fifty-seven million, six hundred eighty-three thousand, eight hundred eight".