36921664 has 56 divisors (see below), whose sum is σ = 79654400. Its totient is φ = 16879104.

The previous prime is 36921641. The next prime is 36921667. The reversal of 36921664 is 46612963.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36921667) 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, 165457 + ... + 165679.

It is an arithmetic number, because the mean of its divisors is an integer number (1422400).

Almost surely, 2^36921664 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 36921664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39827200).

36921664 is an abundant number, since it is smaller than the sum of its proper divisors (42732736).

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

36921664 is a wasteful number, since it uses less digits than its factorization.

36921664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 437 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 36921664 is about 6076.3199389104. The cubic root of 36921664 is about 332.9868542036.

It can be divided in two parts, 3692 and 1664, that added together give a triangular number (5356 = T₁₀₃).

The spelling of 36921664 in words is "thirty-six million, nine hundred twenty-one thousand, six hundred sixty-four".