57994640 has 80 divisors (see below), whose sum is σ = 149722560. Its totient is φ = 20712960.

The previous prime is 57994639. The next prime is 57994679. The reversal of 57994640 is 4649975.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 57994591 and 57994600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51362 + ... + 52478.

It is an arithmetic number, because the mean of its divisors is an integer number (1871532).

Almost surely, 2^57994640 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 57994640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74861280).

57994640 is an abundant number, since it is smaller than the sum of its proper divisors (91727920).

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

57994640 is a wasteful number, since it uses less digits than its factorization.

57994640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200 (or 1194 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 57994640 is about 7615.4211964933. The cubic root of 57994640 is about 387.0757396157.

The spelling of 57994640 in words is "fifty-seven million, nine hundred ninety-four thousand, six hundred forty".