73982664 has 96 divisors (see below), whose sum is σ = 230543040. Its totient is φ = 20995200.

The previous prime is 73982659. The next prime is 73982677. The reversal of 73982664 is 46628937.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90819 + ... + 91629.

It is an arithmetic number, because the mean of its divisors is an integer number (2401490).

Almost surely, 2^73982664 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 73982664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115271520).

73982664 is an abundant number, since it is smaller than the sum of its proper divisors (156560376).

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

73982664 is a wasteful number, since it uses less digits than its factorization.

73982664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1004 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 73982664 is about 8601.3175734884. The cubic root of 73982664 is about 419.8008579731.

The spelling of 73982664 in words is "seventy-three million, nine hundred eighty-two thousand, six hundred sixty-four".