52589600 has 72 divisors (see below), whose sum is σ = 146740608. Its totient is φ = 18028800.

The previous prime is 52589599. The next prime is 52589627. The reversal of 52589600 is 698525.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 905 + ... + 10295.

It is an arithmetic number, because the mean of its divisors is an integer number (2038064).

Almost surely, 2^52589600 is an apocalyptic number.

52589600 is a gapful number since it is divisible by the number (50) 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 52589600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73370304).

52589600 is an abundant number, since it is smaller than the sum of its proper divisors (94151008).

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

52589600 is a wasteful number, since it uses less digits than its factorization.

52589600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9418 (or 9405 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The square root of 52589600 is about 7251.8687246806. The cubic root of 52589600 is about 374.6565151074.

The spelling of 52589600 in words is "fifty-two million, five hundred eighty-nine thousand, six hundred".