36664320 has 352 divisors, whose sum is σ = 150921216. Its totient is φ = 7372800.

The previous prime is 36664301. The next prime is 36664321. The reversal of 36664320 is 2346663.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×36664320² = 2688544722124800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36664321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182705 + ... + 1182735.

Almost surely, 2^36664320 is an apocalyptic number.

36664320 is a gapful number since it is divisible by the number (30) 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 36664320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75460608).

36664320 is an abundant number, since it is smaller than the sum of its proper divisors (114256896).

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

36664320 is a wasteful number, since it uses less digits than its factorization.

36664320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The square root of 36664320 is about 6055.1069354719. The cubic root of 36664320 is about 332.2114103250.

It can be divided in two parts, 366643 and 20, that added together give a palindrome (366663).

The spelling of 36664320 in words is "thirty-six million, six hundred sixty-four thousand, three hundred twenty".