74664 has 48 divisors (see below), whose sum is σ = 217620. Its totient is φ = 23040.

The previous prime is 74653. The next prime is 74687. The reversal of 74664 is 46647.

It can be written as a sum of positive squares in 2 ways, for example, as 72900 + 1764 = 270^2 + 42^2 .

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194 + ... + 1254.

2⁷⁴⁶⁶⁴ 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 74664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108810).

74664 is an abundant number, since it is smaller than the sum of its proper divisors (142956).

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

74664 is a wasteful number, since it uses less digits than its factorization.

74664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 83 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 74664 is about 273.2471408817. The cubic root of 74664 is about 42.1085626800.

Adding to 74664 its sum of digits (27), we get a triangular number (74691 = T₃₈₆).

The spelling of 74664 in words is "seventy-four thousand, six hundred sixty-four".