57783264 has 96 divisors (see below), whose sum is σ = 189133056. Its totient is φ = 15006720.

The previous prime is 57783263. The next prime is 57783277. The reversal of 57783264 is 46238775.

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

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

Its product of digits (282240) is a multiple of the sum of its prime divisors (7840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57783263) 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, 3484 + ... + 11300.

It is an arithmetic number, because the mean of its divisors is an integer number (1970136).

Almost surely, 2^57783264 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 57783264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94566528).

57783264 is an abundant number, since it is smaller than the sum of its proper divisors (131349792).

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

57783264 is a wasteful number, since it uses less digits than its factorization.

57783264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7848 (or 7840 counting only the distinct ones).

The product of its digits is 282240, while the sum is 42.

The square root of 57783264 is about 7601.5303722343. The cubic root of 57783264 is about 386.6049022762.

The spelling of 57783264 in words is "fifty-seven million, seven hundred eighty-three thousand, two hundred sixty-four".