74676168 has 160 divisors (see below), whose sum is σ = 242890560. Its totient is φ = 20995200.

The previous prime is 74676113. The next prime is 74676181. The reversal of 74676168 is 86167647.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 458055 + ... + 458217.

It is an arithmetic number, because the mean of its divisors is an integer number (1518066).

Almost surely, 2^74676168 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 74676168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121445280).

74676168 is an abundant number, since it is smaller than the sum of its proper divisors (168214392).

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

74676168 is a wasteful number, since it uses less digits than its factorization.

74676168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 276 counting only the distinct ones).

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

The square root of 74676168 is about 8641.5373632242. The cubic root of 74676168 is about 421.1085003475.

The spelling of 74676168 in words is "seventy-four million, six hundred seventy-six thousand, one hundred sixty-eight".