36366120 has 96 divisors (see below), whose sum is σ = 135083520. Its totient is φ = 8311680.

The previous prime is 36366103. The next prime is 36366137. The reversal of 36366120 is 2166363.

36366120 is a `hidden beast` number, since 3 + 636 + 6 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (36366103) and next prime (36366137).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4696 + ... + 9735.

It is an arithmetic number, because the mean of its divisors is an integer number (1407120).

Almost surely, 2^36366120 is an apocalyptic number.

36366120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36366120 is an abundant number, since it is smaller than the sum of its proper divisors (98717400).

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

36366120 is a wasteful number, since it uses less digits than its factorization.

36366120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14455 (or 14448 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 36366120 is about 6030.4328202874. The cubic root of 36366120 is about 331.3083049143.

The spelling of 36366120 in words is "thirty-six million, three hundred sixty-six thousand, one hundred twenty".