74960964 has 135 divisors (see below), whose sum is σ = 218086407. Its totient is φ = 22441536.

The previous prime is 74960957. The next prime is 74960981. The reversal of 74960964 is 46906947.

The square root of 74960964 is 8658.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 311364 + 74649600 = 558^2 + 8640^2 .

It is a super-2 number, since 2×74960964² = 11238292247618592, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2025954 + ... + 2025990.

Almost surely, 2^74960964 is an apocalyptic number.

74960964 is a gapful number since it is divisible by the number (74) formed by its first and last digit.

74960964 is the 8658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74960964

74960964 is an abundant number, since it is smaller than the sum of its proper divisors (143125443).

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

74960964 is a wasteful number, since it uses less digits than its factorization.

74960964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The cubic root of 74960964 is about 421.6431549813.

The spelling of 74960964 in words is "seventy-four million, nine hundred sixty thousand, nine hundred sixty-four".