74193984 has 84 divisors (see below), whose sum is σ = 225203004. Its totient is φ = 23273472.

The previous prime is 74193971. The next prime is 74193989. The reversal of 74193984 is 48939147.

It can be written as a sum of positive squares in 2 ways, for example, as 22353984 + 51840000 = 4728^2 + 7200^2 .

It is not an unprimeable number, because it can be changed into a prime (74193989) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6004 + ... + 13580.

Almost surely, 2^74193984 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 74193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112601502).

74193984 is an abundant number, since it is smaller than the sum of its proper divisors (151009020).

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

74193984 is a wasteful number, since it uses less digits than its factorization.

74193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7612 (or 7599 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The square root of 74193984 is about 8613.5929785427. The cubic root of 74193984 is about 420.2001766872.

The spelling of 74193984 in words is "seventy-four million, one hundred ninety-three thousand, nine hundred eighty-four".