8972640 has 192 divisors, whose sum is σ = 32901120. Its totient is φ = 2280960.

The previous prime is 8972627. The next prime is 8972647. The reversal of 8972640 is 462798.

8972640 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8972595 and 8972604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8972647) 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, 133887 + ... + 133953.

It is an arithmetic number, because the mean of its divisors is an integer number (171360).

Almost surely, 2^8972640 is an apocalyptic number.

8972640 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 8972640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16450560).

8972640 is an abundant number, since it is smaller than the sum of its proper divisors (23928480).

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

8972640 is a wasteful number, since it uses less digits than its factorization.

8972640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 8972640 is about 2995.4365291223. The cubic root of 8972640 is about 207.7973865241.

The spelling of 8972640 in words is "eight million, nine hundred seventy-two thousand, six hundred forty".