971013960 has 512 divisors, whose sum is σ = 3953664000. Its totient is φ = 207277056.

The previous prime is 971013893. The next prime is 971013971. The reversal of 971013960 is 69310179.

It is a super-2 number, since 2×971013960² = 1885736221029763200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9427269 + ... + 9427371.

It is an arithmetic number, because the mean of its divisors is an integer number (7722000).

Almost surely, 2^971013960 is an apocalyptic number.

971013960 is a gapful number since it is divisible by the number (90) 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 971013960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1976832000).

971013960 is an abundant number, since it is smaller than the sum of its proper divisors (2982650040).

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

971013960 is a wasteful number, since it uses less digits than its factorization.

971013960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 971013960 is about 31161.0968998205. The cubic root of 971013960 is about 990.2430991623.

The spelling of 971013960 in words is "nine hundred seventy-one million, thirteen thousand, nine hundred sixty".