971633664 has 176 divisors, whose sum is σ = 2912307840. Its totient is φ = 319979520.

The previous prime is 971633627. The next prime is 971633669. The reversal of 971633664 is 466336179.

971633664 is a `hidden beast` number, since 9 + 7 + 1 + 633 + 6 + 6 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (971633669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3124069 + ... + 3124379.

Almost surely, 2^971633664 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 971633664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456153920).

971633664 is an abundant number, since it is smaller than the sum of its proper divisors (1940674176).

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

971633664 is a wasteful number, since it uses less digits than its factorization.

971633664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453 (or 429 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 971633664 is about 31171.0388662297. The cubic root of 971633664 is about 990.4537130618.

The spelling of 971633664 in words is "nine hundred seventy-one million, six hundred thirty-three thousand, six hundred sixty-four".