57006936 has 128 divisors (see below), whose sum is σ = 186048000. Its totient is φ = 15831936.

The previous prime is 57006919. The next prime is 57006947. The reversal of 57006936 is 63960075.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 57006936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55435 + ... + 56453.

It is an arithmetic number, because the mean of its divisors is an integer number (1453500).

Almost surely, 2^57006936 is an apocalyptic number.

57006936 is a gapful number since it is divisible by the number (56) 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 57006936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93024000).

57006936 is an abundant number, since it is smaller than the sum of its proper divisors (129041064).

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

57006936 is a wasteful number, since it uses less digits than its factorization.

57006936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 57006936 is about 7550.2937691192. The cubic root of 57006936 is about 384.8657225553.

The spelling of 57006936 in words is "fifty-seven million, six thousand, nine hundred thirty-six".