74864256 has 128 divisors (see below), whose sum is σ = 216729600. Its totient is φ = 22809600.

The previous prime is 74864239. The next prime is 74864267. The reversal of 74864256 is 65246847.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 226011 + ... + 226341.

It is an arithmetic number, because the mean of its divisors is an integer number (1693200).

Almost surely, 2^74864256 is an apocalyptic number.

74864256 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74864256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108364800).

74864256 is an abundant number, since it is smaller than the sum of its proper divisors (141865344).

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

74864256 is a wasteful number, since it uses less digits than its factorization.

74864256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 386 counting only the distinct ones).

The product of its digits is 322560, while the sum is 42.

The square root of 74864256 is about 8652.4133049687. The cubic root of 74864256 is about 421.4617547256.

The spelling of 74864256 in words is "seventy-four million, eight hundred sixty-four thousand, two hundred fifty-six".