36045864 has 64 divisors (see below), whose sum is σ = 101112000. Its totient is φ = 11897280.

The previous prime is 36045817. The next prime is 36045871. The reversal of 36045864 is 46854063.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22779 + ... + 24309.

It is an arithmetic number, because the mean of its divisors is an integer number (1579875).

Almost surely, 2^36045864 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 36045864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50556000).

36045864 is an abundant number, since it is smaller than the sum of its proper divisors (65066136).

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

36045864 is a wasteful number, since it uses less digits than its factorization.

36045864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 36045864 is about 6003.8207834678. The cubic root of 36045864 is about 330.3328872279.

The spelling of 36045864 in words is "thirty-six million, forty-five thousand, eight hundred sixty-four".