971866560 has 224 divisors, whose sum is σ = 3648821760. Its totient is φ = 214437888.

The previous prime is 971866559. The next prime is 971866613. The reversal of 971866560 is 65668179.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×971866560² = 1889049220892467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192387 + ... + 197373.

Almost surely, 2^971866560 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 971866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824410880).

971866560 is an abundant number, since it is smaller than the sum of its proper divisors (2676955200).

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

971866560 is a wasteful number, since it uses less digits than its factorization.

971866560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5043 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 971866560 is about 31174.7744177885. The cubic root of 971866560 is about 990.5328424321.

The spelling of 971866560 in words is "nine hundred seventy-one million, eight hundred sixty-six thousand, five hundred sixty".