74607984 has 240 divisors, whose sum is σ = 249924480. Its totient is φ = 20528640.

The previous prime is 74607983. The next prime is 74607989. The reversal of 74607984 is 48970647.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74607983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1113519 + ... + 1113585.

It is an arithmetic number, because the mean of its divisors is an integer number (1041352).

Almost surely, 2^74607984 is an apocalyptic number.

74607984 is a gapful number since it is divisible by the number (74) 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 74607984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124962240).

74607984 is an abundant number, since it is smaller than the sum of its proper divisors (175316496).

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

74607984 is a wasteful number, since it uses less digits than its factorization.

74607984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 74607984 is about 8637.5913309209. The cubic root of 74607984 is about 420.9802952094.

The spelling of 74607984 in words is "seventy-four million, six hundred seven thousand, nine hundred eighty-four".