972986112 has 432 divisors, whose sum is σ = 3479443968. Its totient is φ = 255467520.

The previous prime is 972986111. The next prime is 972986123. The reversal of 972986112 is 211689279.

972986112 is a `hidden beast` number, since 9 + 7 + 29 + 8 + 611 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972986111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15950562 + ... + 15950622.

Almost surely, 2^972986112 is an apocalyptic number.

972986112 is a gapful number since it is divisible by the number (92) 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 972986112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739721984).

972986112 is an abundant number, since it is smaller than the sum of its proper divisors (2506457856).

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

972986112 is a wasteful number, since it uses less digits than its factorization.

972986112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 139 counting only the distinct ones).

The product of its digits is 108864, while the sum is 45.

The square root of 972986112 is about 31192.7253057504. The cubic root of 972986112 is about 990.9130480829.

The spelling of 972986112 in words is "nine hundred seventy-two million, nine hundred eighty-six thousand, one hundred twelve".