57689064 has 64 divisors (see below), whose sum is σ = 161865600. Its totient is φ = 19035648.

The previous prime is 57689059. The next prime is 57689081. The reversal of 57689064 is 46098675.

57689064 is a modest number, since divided by 9064 gives 5768 as remainder.

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, 20952 + ... + 23544.

It is an arithmetic number, because the mean of its divisors is an integer number (2529150).

Almost surely, 2^57689064 is an apocalyptic number.

57689064 is a gapful number since it is divisible by the number (54) 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 57689064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80932800).

57689064 is an abundant number, since it is smaller than the sum of its proper divisors (104176536).

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

57689064 is a wasteful number, since it uses less digits than its factorization.

57689064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711 (or 2701 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 57689064 is about 7595.3317241579. The cubic root of 57689064 is about 386.3947030638.

The spelling of 57689064 in words is "fifty-seven million, six hundred eighty-nine thousand, sixty-four".