971943600 has 120 divisors (see below), whose sum is σ = 3136396480. Its totient is φ = 257276160.

The previous prime is 971943593. The next prime is 971943617. The reversal of 971943600 is 6349179.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163887 + ... + 169713.

Almost surely, 2^971943600 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 971943600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568198240).

971943600 is an abundant number, since it is smaller than the sum of its proper divisors (2164452880).

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

971943600 is a wasteful number, since it uses less digits than its factorization.

971943600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 971943600 is about 31176.0100076966. The cubic root of 971943600 is about 990.5590149669.

The spelling of 971943600 in words is "nine hundred seventy-one million, nine hundred forty-three thousand, six hundred".