83664324 has 72 divisors (see below), whose sum is σ = 217945728. Its totient is φ = 27048000.

The previous prime is 83664323. The next prime is 83664331. The reversal of 83664324 is 42346638.

It is a happy number.

83664324 is a `hidden beast` number, since 8 + 3 + 6 + 643 + 2 + 4 = 666.

It is a super-2 number, since 2×83664324² = 13999438220753952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (83664323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333199 + ... + 333449.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2^83664324 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 83664324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108972864).

83664324 is an abundant number, since it is smaller than the sum of its proper divisors (134281404).

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

83664324 is a wasteful number, since it uses less digits than its factorization.

83664324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 505 (or 500 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 83664324 is about 9146.8204311662. The cubic root of 83664324 is about 437.3677623744.

The spelling of 83664324 in words is "eighty-three million, six hundred sixty-four thousand, three hundred twenty-four".