36889920 has 84 divisors (see below), whose sum is σ = 126895860. Its totient is φ = 9836544.

The previous prime is 36889903. The next prime is 36889921. The reversal of 36889920 is 2998863.

It can be written as a sum of positive squares in 2 ways, for example, as 12446784 + 24443136 = 3528^2 + 4944^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36889921) 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, 3525 + ... + 9284.

It is an arithmetic number, because the mean of its divisors is an integer number (1510665).

Almost surely, 2^36889920 is an apocalyptic number.

36889920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36889920 is an abundant number, since it is smaller than the sum of its proper divisors (90005940).

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

36889920 is a wasteful number, since it uses less digits than its factorization.

36889920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12832 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 36889920 is about 6073.7072698641. The cubic root of 36889920 is about 332.8913965568.

The spelling of 36889920 in words is "thirty-six million, eight hundred eighty-nine thousand, nine hundred twenty".