971563648 has 64 divisors (see below), whose sum is σ = 2117715840. Its totient is φ = 440320000.

The previous prime is 971563639. The next prime is 971563657. The reversal of 971563648 is 846365179.

It is an interprime number because it is at equal distance from previous prime (971563639) and next prime (971563657).

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 606048 + ... + 607648.

It is an arithmetic number, because the mean of its divisors is an integer number (33089310).

Almost surely, 2^971563648 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 971563648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1058857920).

971563648 is an abundant number, since it is smaller than the sum of its proper divisors (1146152192).

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

971563648 is a wasteful number, since it uses less digits than its factorization.

971563648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2057 (or 2045 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 49.

The square root of 971563648 is about 31169.9157522121. The cubic root of 971563648 is about 990.4299217656.

The spelling of 971563648 in words is "nine hundred seventy-one million, five hundred sixty-three thousand, six hundred forty-eight".