52583664 has 120 divisors (see below), whose sum is σ = 160584960. Its totient is φ = 14781312.

The previous prime is 52583639. The next prime is 52583683. The reversal of 52583664 is 46638525.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 185667 + ... + 185949.

It is an arithmetic number, because the mean of its divisors is an integer number (1338208).

Almost surely, 2^52583664 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 52583664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80292480).

52583664 is an abundant number, since it is smaller than the sum of its proper divisors (108001296).

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

52583664 is a wasteful number, since it uses less digits than its factorization.

52583664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its digits is 172800, while the sum is 39.

The square root of 52583664 is about 7251.4594393129. The cubic root of 52583664 is about 374.6424182469.

The spelling of 52583664 in words is "fifty-two million, five hundred eighty-three thousand, six hundred sixty-four".