971506560 has 128 divisors (see below), whose sum is σ = 3106022400. Its totient is φ = 258287616.

The previous prime is 971506553. The next prime is 971506573. The reversal of 971506560 is 65605179.

It is a Cunningham number, because it is equal to 31169²-1.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×971506560² = 1887649992246067200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 934521 + ... + 935559.

It is an arithmetic number, because the mean of its divisors is an integer number (24265800).

Almost surely, 2^971506560 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 971506560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553011200).

971506560 is an abundant number, since it is smaller than the sum of its proper divisors (2134515840).

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

971506560 is a wasteful number, since it uses less digits than its factorization.

971506560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 971506560 is about 31168.9999839584. Note that the first 4 decimals coincide. The cubic root of 971506560 is about 990.4105225319.

The spelling of 971506560 in words is "nine hundred seventy-one million, five hundred six thousand, five hundred sixty".