36393168 has 80 divisors (see below), whose sum is σ = 108743040. Its totient is φ = 10272768.

The previous prime is 36393143. The next prime is 36393187. The reversal of 36393168 is 86139363.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29296 + ... + 30512.

It is an arithmetic number, because the mean of its divisors is an integer number (1359288).

Almost surely, 2^36393168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36393168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54371520).

36393168 is an abundant number, since it is smaller than the sum of its proper divisors (72349872).

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

36393168 is a wasteful number, since it uses less digits than its factorization.

36393168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1318 counting only the distinct ones).

The product of its digits is 69984, while the sum is 39.

The square root of 36393168 is about 6032.6750285425. The cubic root of 36393168 is about 331.3904235296.

The spelling of 36393168 in words is "thirty-six million, three hundred ninety-three thousand, one hundred sixty-eight".