36088864 has 48 divisors (see below), whose sum is σ = 82349568. Its totient is φ = 15247872.

The previous prime is 36088861. The next prime is 36088891. The reversal of 36088864 is 46888063.

It is a super-2 number, since 2×36088864² = 2604812209620992, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 36088864.

It is not an unprimeable number, because it can be changed into a prime (36088861) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15249 + ... + 17455.

It is an arithmetic number, because the mean of its divisors is an integer number (1715616).

Almost surely, 2^36088864 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 36088864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41174784).

36088864 is an abundant number, since it is smaller than the sum of its proper divisors (46260704).

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

36088864 is a wasteful number, since it uses less digits than its factorization.

36088864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2297 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 36088864 is about 6007.4007690515. The cubic root of 36088864 is about 330.4641891128.

The spelling of 36088864 in words is "thirty-six million, eighty-eight thousand, eight hundred sixty-four".