36264160 has 96 divisors (see below), whose sum is σ = 91929600. Its totient is φ = 13478400.

The previous prime is 36264143. The next prime is 36264197. The reversal of 36264160 is 6146263.

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, 240085 + ... + 240235.

It is an arithmetic number, because the mean of its divisors is an integer number (957600).

Almost surely, 2^36264160 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 36264160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45964800).

36264160 is an abundant number, since it is smaller than the sum of its proper divisors (55665440).

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

36264160 is a wasteful number, since it uses less digits than its factorization.

36264160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 36264160 is about 6021.9730985782. The cubic root of 36264160 is about 330.9983844537.

It can be divided in two parts, 36 and 264160, that added together give a square (264196 = 514²).

The spelling of 36264160 in words is "thirty-six million, two hundred sixty-four thousand, one hundred sixty".