971896320 has 400 divisors, whose sum is σ = 3594658320. Its totient is φ = 250822656.

The previous prime is 971896313. The next prime is 971896339. The reversal of 971896320 is 23698179.

971896320 is a `hidden beast` number, since 9 + 7 + 1 + 8 + 9 + 632 + 0 = 666.

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 39 ways as a sum of consecutive naturals, for example, 8916426 + ... + 8916534.

Almost surely, 2^971896320 is an apocalyptic number.

971896320 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 971896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797329160).

971896320 is an abundant number, since it is smaller than the sum of its proper divisors (2622762000).

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

971896320 is a wasteful number, since it uses less digits than its factorization.

971896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 971896320 is about 31175.2517231217. The cubic root of 971896320 is about 990.5429528587.

The spelling of 971896320 in words is "nine hundred seventy-one million, eight hundred ninety-six thousand, three hundred twenty".