36896160 has 192 divisors, whose sum is σ = 135475200. Its totient is φ = 8266752.

The previous prime is 36896159. The next prime is 36896161. The reversal of 36896160 is 6169863.

It is a happy number.

36896160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36896159) and next prime (36896161).

It is a super-2 number, since 2×36896160² = 2722653245491200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36896161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265371 + ... + 265509.

It is an arithmetic number, because the mean of its divisors is an integer number (705600).

Almost surely, 2^36896160 is an apocalyptic number.

36896160 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 36896160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67737600).

36896160 is an abundant number, since it is smaller than the sum of its proper divisors (98579040).

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

36896160 is a wasteful number, since it uses less digits than its factorization.

36896160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 36896160 is about 6074.2209377006. The cubic root of 36896160 is about 332.9101652358.

The spelling of 36896160 in words is "thirty-six million, eight hundred ninety-six thousand, one hundred sixty".