74148984 has 96 divisors (see below), whose sum is σ = 247185120. Its totient is φ = 19554048.

The previous prime is 74148983. The next prime is 74148989. The reversal of 74148984 is 48984147.

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 (74148983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 894 + ... + 12210.

It is an arithmetic number, because the mean of its divisors is an integer number (2574845).

Almost surely, 2^74148984 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 74148984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123592560).

74148984 is an abundant number, since it is smaller than the sum of its proper divisors (173036136).

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

74148984 is a wasteful number, since it uses less digits than its factorization.

74148984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11349 (or 11342 counting only the distinct ones).

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

The square root of 74148984 is about 8610.9804319833. The cubic root of 74148984 is about 420.1152064911.

The spelling of 74148984 in words is "seventy-four million, one hundred forty-eight thousand, nine hundred eighty-four".