36680960 has 36 divisors (see below), whose sum is σ = 87865428. Its totient is φ = 14671872.

The previous prime is 36680953. The next prime is 36680971. The reversal of 36680960 is 6908663.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10137856 + 26543104 = 3184^2 + 5152^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13049 + ... + 15608.

Almost surely, 2^36680960 is an apocalyptic number.

It is an amenable number.

36680960 is an abundant number, since it is smaller than the sum of its proper divisors (51184468).

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

36680960 is an equidigital number, since it uses as much as digits as its factorization.

36680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28678 (or 28664 counting only the distinct ones).

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

The square root of 36680960 is about 6056.4808263545. The cubic root of 36680960 is about 332.2616604664.

The spelling of 36680960 in words is "thirty-six million, six hundred eighty thousand, nine hundred sixty".