36158064 has 80 divisors (see below), whose sum is σ = 100826880. Its totient is φ = 11128320.

The previous prime is 36158053. The next prime is 36158069. The reversal of 36158064 is 46085163.

36158064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36158069) 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 15 ways as a sum of consecutive naturals, for example, 36909 + ... + 37875.

It is an arithmetic number, because the mean of its divisors is an integer number (1260336).

Almost surely, 2^36158064 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 36158064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50413440).

36158064 is an abundant number, since it is smaller than the sum of its proper divisors (64668816).

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

36158064 is a wasteful number, since it uses less digits than its factorization.

36158064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1038 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 36158064 is about 6013.1575731890. The cubic root of 36158064 is about 330.6752747354.

The spelling of 36158064 in words is "thirty-six million, one hundred fifty-eight thousand, sixty-four".