8929872 has 80 divisors (see below), whose sum is σ = 29303680. Its totient is φ = 2550528.

The previous prime is 8929849. The next prime is 8929873. The reversal of 8929872 is 2789298.

It is a super-2 number, since 2×8929872² = 159485227872768, which contains 22 as substring.

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

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8929873) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1548 + ... + 4500.

It is an arithmetic number, because the mean of its divisors is an integer number (366296).

Almost surely, 2^8929872 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 8929872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14651840).

8929872 is an abundant number, since it is smaller than the sum of its proper divisors (20373808).

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

8929872 is a wasteful number, since it uses less digits than its factorization.

8929872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2977 (or 2965 counting only the distinct ones).

The product of its digits is 145152, while the sum is 45.

The square root of 8929872 is about 2988.2891426366. The cubic root of 8929872 is about 207.4667058402.

It can be divided in two parts, 8929 and 872, that added together give a square (9801 = 99²).

The spelling of 8929872 in words is "eight million, nine hundred twenty-nine thousand, eight hundred seventy-two".