5236800 has 84 divisors (see below), whose sum is σ = 17196816. Its totient is φ = 1395200.

The previous prime is 5236753. The next prime is 5236811. The reversal of 5236800 is 86325.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 4255 + ... + 5345.

It is an arithmetic number, because the mean of its divisors is an integer number (204724).

Almost surely, 2^5236800 is an apocalyptic number.

5236800 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 5236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8598408).

5236800 is an abundant number, since it is smaller than the sum of its proper divisors (11960016).

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

5236800 is a wasteful number, since it uses less digits than its factorization.

5236800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 5236800 is about 2288.4055584620. The cubic root of 5236800 is about 173.6555479259.

The spelling of 5236800 in words is "five million, two hundred thirty-six thousand, eight hundred".