74964 has 12 divisors (see below), whose sum is σ = 174944. Its totient is φ = 24984.

The previous prime is 74959. The next prime is 75011. The reversal of 74964 is 46947.

It is a tau number, because it is divible by the number of its divisors (12).

It is a congruent number.

It is an unprimeable number.

74964 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 3112 + ... + 3135.

2⁷⁴⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

74964 is an abundant number, since it is smaller than the sum of its proper divisors (99980).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87472).

74964 is a wasteful number, since it uses less digits than its factorization.

74964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6252 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 74964 is about 273.7955441566. The cubic root of 74964 is about 42.1648847239.

The spelling of 74964 in words is "seventy-four thousand, nine hundred sixty-four".