36632880 has 120 divisors (see below), whose sum is σ = 124710768. Its totient is φ = 9635328.

The previous prime is 36632873. The next prime is 36632891. The reversal of 36632880 is 8823663.

36632880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59454 + ... + 60066.

Almost surely, 2^36632880 is an apocalyptic number.

36632880 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 36632880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62355384).

36632880 is an abundant number, since it is smaller than the sum of its proper divisors (88077888).

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

36632880 is a wasteful number, since it uses less digits than its factorization.

36632880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 36632880 is about 6052.5102230397. The cubic root of 36632880 is about 332.1164250310.

The spelling of 36632880 in words is "thirty-six million, six hundred thirty-two thousand, eight hundred eighty".