36794160 has 120 divisors (see below), whose sum is σ = 133106064. Its totient is φ = 9054720.

The previous prime is 36794141. The next prime is 36794167. The reversal of 36794160 is 6149763.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (36794167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7395 + ... + 11325.

Almost surely, 2^36794160 is an apocalyptic number.

36794160 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 36794160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66553032).

36794160 is an abundant number, since it is smaller than the sum of its proper divisors (96311904).

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

36794160 is a wasteful number, since it uses less digits than its factorization.

36794160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3963 (or 3954 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 36794160 is about 6065.8189883972. The cubic root of 36794160 is about 332.6031036844.

The spelling of 36794160 in words is "thirty-six million, seven hundred ninety-four thousand, one hundred sixty".