74182668 has 96 divisors (see below), whose sum is σ = 205632000. Its totient is φ = 20801088.

The previous prime is 74182663. The next prime is 74182687. The reversal of 74182668 is 86628147.

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 a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (74182663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 275638 + ... + 275906.

It is an arithmetic number, because the mean of its divisors is an integer number (2142000).

Almost surely, 2^74182668 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 74182668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102816000).

74182668 is an abundant number, since it is smaller than the sum of its proper divisors (131449332).

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

74182668 is a wasteful number, since it uses less digits than its factorization.

74182668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 348 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 74182668 is about 8612.9360847507. The cubic root of 74182668 is about 420.1788127495.

The spelling of 74182668 in words is "seventy-four million, one hundred eighty-two thousand, six hundred sixty-eight".