36808920 has 96 divisors (see below), whose sum is σ = 121726800. Its totient is φ = 9643776.

The previous prime is 36808913. The next prime is 36808931. The reversal of 36808920 is 2980863.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20374 + ... + 22106.

Almost surely, 2^36808920 is an apocalyptic number.

36808920 is a gapful number since it is divisible by the number (30) 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 36808920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60863400).

36808920 is an abundant number, since it is smaller than the sum of its proper divisors (84917880).

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

36808920 is a wasteful number, since it uses less digits than its factorization.

36808920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1809 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 36808920 is about 6067.0355199224. The cubic root of 36808920 is about 332.6475723855.

The spelling of 36808920 in words is "thirty-six million, eight hundred eight thousand, nine hundred twenty".