8972631360 has 448 divisors, whose sum is σ = 39466967040. Its totient is φ = 1864304640.

The previous prime is 8972631359. The next prime is 8972631373. The reversal of 8972631360 is 631362798.

8972631360 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 631 + 3 + 6 + 0 = 666.

8972631360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×8972631360² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 658537 + ... + 672023.

Almost surely, 2^8972631360 is an apocalyptic number.

8972631360 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 8972631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19733483520).

8972631360 is an abundant number, since it is smaller than the sum of its proper divisors (30494335680).

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

8972631360 is a wasteful number, since it uses less digits than its factorization.

8972631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13531 (or 13515 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 8972631360 is about 94723.9745787728. The cubic root of 8972631360 is about 2077.9731982612.

The spelling of 8972631360 in words is "eight billion, nine hundred seventy-two million, six hundred thirty-one thousand, three hundred sixty".