971904960 has 448 divisors, whose sum is σ = 3917289600. Its totient is φ = 224722944.

The previous prime is 971904949. The next prime is 971904971. The reversal of 971904960 is 69409179.

971904960 is a `hidden beast` number, since 9 + 71 + 90 + 496 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (971904949) and next prime (971904971).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1909186 + ... + 1909694.

It is an arithmetic number, because the mean of its divisors is an integer number (8743950).

Almost surely, 2^971904960 is an apocalyptic number.

971904960 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 971904960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958644800).

971904960 is an abundant number, since it is smaller than the sum of its proper divisors (2945384640).

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

971904960 is a wasteful number, since it uses less digits than its factorization.

971904960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 565 (or 549 counting only the distinct ones).

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

The square root of 971904960 is about 31175.3902942690. The cubic root of 971904960 is about 990.5458881052.

The spelling of 971904960 in words is "nine hundred seventy-one million, nine hundred four thousand, nine hundred sixty".