982163520 has 336 divisors, whose sum is σ = 3741694320. Its totient is φ = 234897408.

The previous prime is 982163477. The next prime is 982163521. The reversal of 982163520 is 25361289.

982163520 is a `hidden beast` number, since 98 + 216 + 352 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57517056 + 924646464 = 7584^2 + 30408^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (982163521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1384926 + ... + 1385634.

It is an arithmetic number, because the mean of its divisors is an integer number (11135995).

Almost surely, 2^982163520 is an apocalyptic number.

982163520 is a gapful number since it is divisible by the number (90) 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 982163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870847160).

982163520 is an abundant number, since it is smaller than the sum of its proper divisors (2759530800).

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

982163520 is a wasteful number, since it uses less digits than its factorization.

982163520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 982163520 is about 31339.4881898221. The cubic root of 982163520 is about 994.0188032776.

The spelling of 982163520 in words is "nine hundred eighty-two million, one hundred sixty-three thousand, five hundred twenty".