57681120 has 96 divisors (see below), whose sum is σ = 207664128. Its totient is φ = 13183488.

The previous prime is 57681101. The next prime is 57681121. The reversal of 57681120 is 2118675.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×57681120² = 6654223208908800, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57681121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5224 + ... + 11943.

It is an arithmetic number, because the mean of its divisors is an integer number (2163168).

Almost surely, 2^57681120 is an apocalyptic number.

It is an amenable number.

57681120 is an abundant number, since it is smaller than the sum of its proper divisors (149983008).

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

57681120 is a wasteful number, since it uses less digits than its factorization.

57681120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17192 (or 17184 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 57681120 is about 7594.8087533525. The cubic root of 57681120 is about 386.3769662508.

Adding to 57681120 its reverse (2118675), we get a palindrome (59799795).

The spelling of 57681120 in words is "fifty-seven million, six hundred eighty-one thousand, one hundred twenty".