74361984 has 64 divisors (see below), whose sum is σ = 198728640. Its totient is φ = 24636416.

The previous prime is 74361949. The next prime is 74361997. The reversal of 74361984 is 48916347.

It is a tau number, because it is divible by the number of its divisors (64).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 7 ways as a sum of consecutive naturals, for example, 75157 + ... + 76139.

It is an arithmetic number, because the mean of its divisors is an integer number (3105135).

Almost surely, 2^74361984 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 74361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99364320).

74361984 is an abundant number, since it is smaller than the sum of its proper divisors (124366656).

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

74361984 is a wasteful number, since it uses less digits than its factorization.

74361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1185 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 74361984 is about 8623.3394923313. The cubic root of 74361984 is about 420.5170955274.

It can be divided in two parts, 7436198 and 4, that multiplied together give a palindrome (29744792).

The spelling of 74361984 in words is "seventy-four million, three hundred sixty-one thousand, nine hundred eighty-four".