971359680 has 112 divisors (see below), whose sum is σ = 3155923584. Its totient is φ = 252994560.

The previous prime is 971359643. The next prime is 971359693. The reversal of 971359680 is 86953179.

971359680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29515 + ... + 53045.

Almost surely, 2^971359680 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 971359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577961792).

971359680 is an abundant number, since it is smaller than the sum of its proper divisors (2184563904).

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

971359680 is a wasteful number, since it uses less digits than its factorization.

971359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23594 (or 23584 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 971359680 is about 31166.6437076564. The cubic root of 971359680 is about 990.3606073330.

The spelling of 971359680 in words is "nine hundred seventy-one million, three hundred fifty-nine thousand, six hundred eighty".