971782656 has 160 divisors (see below), whose sum is σ = 2858442048. Its totient is φ = 291471360.

The previous prime is 971782631. The next prime is 971782727. The reversal of 971782656 is 656287179.

It is a junction number, because it is equal to n+sod(n) for n = 971782599 and 971782608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 818095 + ... + 819281.

Almost surely, 2^971782656 is an apocalyptic number.

971782656 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 971782656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1429221024).

971782656 is an abundant number, since it is smaller than the sum of its proper divisors (1886659392).

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

971782656 is a wasteful number, since it uses less digits than its factorization.

971782656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1246 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 51.

The square root of 971782656 is about 31173.4286853403. The cubic root of 971782656 is about 990.5043364407.

The spelling of 971782656 in words is "nine hundred seventy-one million, seven hundred eighty-two thousand, six hundred fifty-six".