36806960 has 20 divisors (see below), whose sum is σ = 85576368. Its totient is φ = 14722752.

The previous prime is 36806927. The next prime is 36806977. The reversal of 36806960 is 6960863.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 229964 + ... + 230123.

Almost surely, 2^36806960 is an apocalyptic number.

It is an amenable number.

36806960 is an abundant number, since it is smaller than the sum of its proper divisors (48769408).

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

36806960 is a wasteful number, since it uses less digits than its factorization.

36806960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460100 (or 460094 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 36806960 is about 6066.8739891315. The cubic root of 36806960 is about 332.6416680122.

The spelling of 36806960 in words is "thirty-six million, eight hundred six thousand, nine hundred sixty".