74964006 has 72 divisors (see below), whose sum is σ = 185276520. Its totient is φ = 21835008.

The previous prime is 74963981. The next prime is 74964011. The reversal of 74964006 is 60046947.

74964006 is a `hidden beast` number, since 7 + 4 + 9 + 640 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 57150 + ... + 58446.

It is an arithmetic number, because the mean of its divisors is an integer number (2573285).

Almost surely, 2^74964006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74964006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92638260).

74964006 is an abundant number, since it is smaller than the sum of its proper divisors (110312514).

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

74964006 is a wasteful number, since it uses less digits than its factorization.

74964006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 74964006 is about 8658.1756738934. The cubic root of 74964006 is about 421.6488584882.

The spelling of 74964006 in words is "seventy-four million, nine hundred sixty-four thousand, six".