982166976 has 504 divisors, whose sum is σ = 3658880160. Its totient is φ = 249790464.

The previous prime is 982166963. The next prime is 982166989. The reversal of 982166976 is 679661289.

It is an interprime number because it is at equal distance from previous prime (982166963) and next prime (982166989).

It is a tau number, because it is divible by the number of its divisors (504).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 11035540 + ... + 11035628.

Almost surely, 2^982166976 is an apocalyptic number.

982166976 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 982166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829440080).

982166976 is an abundant number, since it is smaller than the sum of its proper divisors (2676713184).

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

982166976 is a wasteful number, since it uses less digits than its factorization.

982166976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 141 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 982166976 is about 31339.5433278789. The cubic root of 982166976 is about 994.0199691816.

The spelling of 982166976 in words is "nine hundred eighty-two million, one hundred sixty-six thousand, nine hundred seventy-six".