36895920 has 40 divisors (see below), whose sum is σ = 114378096. Its totient is φ = 9838848.

The previous prime is 36895909. The next prime is 36895927. The reversal of 36895920 is 2959863.

36895920 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 (40).

It is a super-2 number, since 2×36895920² = 2722617825292800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36895927) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 76627 + ... + 77106.

Almost surely, 2^36895920 is an apocalyptic number.

36895920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36895920 is an abundant number, since it is smaller than the sum of its proper divisors (77482176).

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

36895920 is a wasteful number, since it uses less digits than its factorization.

36895920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153749 (or 153743 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 36895920 is about 6074.2011820485. The cubic root of 36895920 is about 332.9094434027.

The spelling of 36895920 in words is "thirty-six million, eight hundred ninety-five thousand, nine hundred twenty".