36764160 has 80 divisors (see below), whose sum is σ = 117554976. Its totient is φ = 9801728.

The previous prime is 36764153. The next prime is 36764191. The reversal of 36764160 is 6146763.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5287 + ... + 10073.

Almost surely, 2^36764160 is an apocalyptic number.

36764160 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 36764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58777488).

36764160 is an abundant number, since it is smaller than the sum of its proper divisors (80790816).

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

36764160 is an equidigital number, since it uses as much as digits as its factorization.

36764160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4813 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 36764160 is about 6063.3456111292. The cubic root of 36764160 is about 332.5126834817.

The spelling of 36764160 in words is "thirty-six million, seven hundred sixty-four thousand, one hundred sixty".