8874672 has 80 divisors (see below), whose sum is σ = 24879360. Its totient is φ = 2716416.

The previous prime is 8874661. The next prime is 8874673. The reversal of 8874672 is 2764788.

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

It is not an unprimeable number, because it can be changed into a prime (8874673) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 33613 + ... + 33875.

It is an arithmetic number, because the mean of its divisors is an integer number (310992).

Almost surely, 2^8874672 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 8874672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12439680).

8874672 is an abundant number, since it is smaller than the sum of its proper divisors (16004688).

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

8874672 is a wasteful number, since it uses less digits than its factorization.

8874672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 324 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 8874672 is about 2979.0387711475. The cubic root of 8874672 is about 207.0383368515.

The spelling of 8874672 in words is "eight million, eight hundred seventy-four thousand, six hundred seventy-two".