36520800 has 72 divisors (see below), whose sum is σ = 118883016. Its totient is φ = 9738240.

The previous prime is 36520787. The next prime is 36520807. The reversal of 36520800 is 802563.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36520807) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5209 + ... + 10008.

It is an arithmetic number, because the mean of its divisors is an integer number (1651153).

Almost surely, 2^36520800 is an apocalyptic number.

36520800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36520800 is an abundant number, since it is smaller than the sum of its proper divisors (82362216).

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

36520800 is a wasteful number, since it uses less digits than its factorization.

36520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15240 (or 15227 counting only the distinct ones).

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

The square root of 36520800 is about 6043.2441618720. The cubic root of 36520800 is about 331.7773704619. Note that the first 3 decimals are identical.

The spelling of 36520800 in words is "thirty-six million, five hundred twenty thousand, eight hundred".