36165664 has 48 divisors (see below), whose sum is σ = 79380000. Its totient is φ = 16118784.

The previous prime is 36165653. The next prime is 36165677. The reversal of 36165664 is 46656163.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8587 + ... + 12085.

It is an arithmetic number, because the mean of its divisors is an integer number (1653750).

Almost surely, 2^36165664 is an apocalyptic number.

36165664 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 36165664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39690000).

36165664 is an abundant number, since it is smaller than the sum of its proper divisors (43214336).

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

36165664 is a wasteful number, since it uses less digits than its factorization.

36165664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3545 (or 3537 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

The square root of 36165664 is about 6013.7894875029. The cubic root of 36165664 is about 330.6984411309.

The spelling of 36165664 in words is "thirty-six million, one hundred sixty-five thousand, six hundred sixty-four".