972690912 has 72 divisors (see below), whose sum is σ = 2805107760. Its totient is φ = 319656960.

The previous prime is 972690911. The next prime is 972690913. The reversal of 972690912 is 219096279.

It is an interprime number because it is at equal distance from previous prime (972690911) and next prime (972690913).

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×972690912² = 1892255220574783488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (972690911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3337 + ... + 44232.

It is an arithmetic number, because the mean of its divisors is an integer number (38959830).

Almost surely, 2^972690912 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 972690912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402553880).

972690912 is an abundant number, since it is smaller than the sum of its proper divisors (1832416848).

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

972690912 is a wasteful number, since it uses less digits than its factorization.

972690912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47656 (or 47645 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 972690912 is about 31187.9930742586. The cubic root of 972690912 is about 990.8128249601.

The spelling of 972690912 in words is "nine hundred seventy-two million, six hundred ninety thousand, nine hundred twelve".