971708640 has 384 divisors, whose sum is σ = 3808788480. Its totient is φ = 203212800.

The previous prime is 971708629. The next prime is 971708663. The reversal of 971708640 is 46807179.

971708640 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 971708592 and 971708601.

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, 1978795 + ... + 1979285.

It is an arithmetic number, because the mean of its divisors is an integer number (9918720).

Almost surely, 2^971708640 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 971708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904394240).

971708640 is an abundant number, since it is smaller than the sum of its proper divisors (2837079840).

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

971708640 is a wasteful number, since it uses less digits than its factorization.

971708640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 558 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 971708640 is about 31172.2414978455. The cubic root of 971708640 is about 990.4791884889.

The spelling of 971708640 in words is "nine hundred seventy-one million, seven hundred eight thousand, six hundred forty".