53236800 has 126 divisors (see below), whose sum is σ = 189267338. Its totient is φ = 14192640.

The previous prime is 53236787. The next prime is 53236811. The reversal of 53236800 is 863235.

It can be written as a sum of positive squares in 3 ways, for example, as 5184 + 53231616 = 72^2 + 7296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12552 + ... + 16248.

Almost surely, 2^53236800 is an apocalyptic number.

53236800 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 53236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94633669).

53236800 is an abundant number, since it is smaller than the sum of its proper divisors (136030538).

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

53236800 is a wasteful number, since it uses less digits than its factorization.

53236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3707 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53236800 is about 7296.3552545089. The cubic root of 53236800 is about 376.1871710338.

The spelling of 53236800 in words is "fifty-three million, two hundred thirty-six thousand, eight hundred".