982152864 has 720 divisors, whose sum is σ = 3962740320. Its totient is φ = 235146240.

The previous prime is 982152803. The next prime is 982152931. The reversal of 982152864 is 468251289.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26544654 + ... + 26544690.

It is an arithmetic number, because the mean of its divisors is an integer number (5503806).

Almost surely, 2^982152864 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 982152864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1981370160).

982152864 is an abundant number, since it is smaller than the sum of its proper divisors (2980587456).

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

982152864 is a wasteful number, since it uses less digits than its factorization.

982152864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 79 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 982152864 is about 31339.3181802030. The cubic root of 982152864 is about 994.0152083899.

The spelling of 982152864 in words is "nine hundred eighty-two million, one hundred fifty-two thousand, eight hundred sixty-four".