8972480 has 56 divisors (see below), whose sum is σ = 23317200. Its totient is φ = 3261440.

The previous prime is 8972473. The next prime is 8972489. The reversal of 8972480 is 842798.

It is not an unprimeable number, because it can be changed into a prime (8972489) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2246 + ... + 4794.

Almost surely, 2^8972480 is an apocalyptic number.

8972480 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11658600).

8972480 is an abundant number, since it is smaller than the sum of its proper divisors (14344720).

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

8972480 is a wasteful number, since it uses less digits than its factorization.

8972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2567 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The square root of 8972480 is about 2995.4098217105. The cubic root of 8972480 is about 207.7961513700.

The spelling of 8972480 in words is "eight million, nine hundred seventy-two thousand, four hundred eighty".