57083964 has 48 divisors (see below), whose sum is σ = 153350400. Its totient is φ = 16189056.

The previous prime is 57083951. The next prime is 57083969. The reversal of 57083964 is 46938075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57083969) 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, 9232 + ... + 14120.

It is an arithmetic number, because the mean of its divisors is an integer number (3194800).

Almost surely, 2^57083964 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 57083964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76675200).

57083964 is an abundant number, since it is smaller than the sum of its proper divisors (96266436).

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

57083964 is a wasteful number, since it uses less digits than its factorization.

57083964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5042 (or 5040 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 57083964 is about 7555.3930407359. The cubic root of 57083964 is about 385.0389885742.

The spelling of 57083964 in words is "fifty-seven million, eighty-three thousand, nine hundred sixty-four".