983162880 has 448 divisors, whose sum is σ = 4026286080. Its totient is φ = 222953472.

The previous prime is 983162867. The next prime is 983162881. The reversal of 983162880 is 88261389.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (983162881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7741377 + ... + 7741503.

Almost surely, 2^983162880 is an apocalyptic number.

983162880 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 983162880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013143040).

983162880 is an abundant number, since it is smaller than the sum of its proper divisors (3043123200).

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

983162880 is a wasteful number, since it uses less digits than its factorization.

983162880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 983162880 is about 31355.4282381855. The cubic root of 983162880 is about 994.3558299459.

The spelling of 983162880 in words is "nine hundred eighty-three million, one hundred sixty-two thousand, eight hundred eighty".