74841984 has 96 divisors (see below), whose sum is σ = 246158640. Its totient is φ = 21381120.

The previous prime is 74841983. The next prime is 74842021. The reversal of 74841984 is 48914847.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74841983) 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, 3424 + ... + 12704.

Almost surely, 2^74841984 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 74841984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123079320).

74841984 is an abundant number, since it is smaller than the sum of its proper divisors (171316656).

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

74841984 is a wasteful number, since it uses less digits than its factorization.

74841984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9308 (or 9293 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 74841984 is about 8651.1261694649. The cubic root of 74841984 is about 421.4199558409.

The spelling of 74841984 in words is "seventy-four million, eight hundred forty-one thousand, nine hundred eighty-four".