57684000 has 384 divisors, whose sum is σ = 226437120. Its totient is φ = 12672000.

The previous prime is 57683939. The next prime is 57684037. The reversal of 57684000 is 48675.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2507989 + ... + 2508011.

It is an arithmetic number, because the mean of its divisors is an integer number (589680).

Almost surely, 2^57684000 is an apocalyptic number.

57684000 is a gapful number since it is divisible by the number (50) 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 57684000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113218560).

57684000 is an abundant number, since it is smaller than the sum of its proper divisors (168753120).

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

57684000 is a wasteful number, since it uses less digits than its factorization.

57684000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 57684000 is about 7594.9983541802. The cubic root of 57684000 is about 386.3833967035.

The spelling of 57684000 in words is "fifty-seven million, six hundred eighty-four thousand".