36158864 has 60 divisors (see below), whose sum is σ = 86321484. Its totient is φ = 14579712.

The previous prime is 36158861. The next prime is 36158869. The reversal of 36158864 is 46885163.

36158864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 32947600 + 3211264 = 5740^2 + 1792^2 .

It is not an unprimeable number, because it can be changed into a prime (36158861) 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 11 ways as a sum of consecutive naturals, for example, 11972 + ... + 14684.

Almost surely, 2^36158864 is an apocalyptic number.

36158864 is a gapful number since it is divisible by the number (34) 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 36158864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43160742).

36158864 is an abundant number, since it is smaller than the sum of its proper divisors (50162620).

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

36158864 is a wasteful number, since it uses less digits than its factorization.

36158864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2752 (or 2739 counting only the distinct ones).

The product of its digits is 138240, while the sum is 41.

The square root of 36158864 is about 6013.2240936123. The cubic root of 36158864 is about 330.6777134562.

The spelling of 36158864 in words is "thirty-six million, one hundred fifty-eight thousand, eight hundred sixty-four".