57218640 has 80 divisors (see below), whose sum is σ = 178113600. Its totient is φ = 15195136.

The previous prime is 57218611. The next prime is 57218659. The reversal of 57218640 is 4681275.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100276 + ... + 100844.

It is an arithmetic number, because the mean of its divisors is an integer number (2226420).

Almost surely, 2^57218640 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 57218640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89056800).

57218640 is an abundant number, since it is smaller than the sum of its proper divisors (120894960).

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

57218640 is a wasteful number, since it uses less digits than its factorization.

57218640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 998 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 57218640 is about 7564.3003642108. The cubic root of 57218640 is about 385.3415533129.

The spelling of 57218640 in words is "fifty-seven million, two hundred eighteen thousand, six hundred forty".