983630880 has 288 divisors, whose sum is σ = 3710738304. Its totient is φ = 236003328.

The previous prime is 983630873. The next prime is 983630881. The reversal of 983630880 is 88036389.

983630880 is a `hidden beast` number, since 9 + 8 + 3 + 630 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (983630881) 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, 562167 + ... + 563913.

It is an arithmetic number, because the mean of its divisors is an integer number (12884508).

Almost surely, 2^983630880 is an apocalyptic number.

983630880 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 983630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1855369152).

983630880 is an abundant number, since it is smaller than the sum of its proper divisors (2727107424).

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

983630880 is a wasteful number, since it uses less digits than its factorization.

983630880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 983630880 is about 31362.8901729417. The cubic root of 983630880 is about 994.5135809209.

The spelling of 983630880 in words is "nine hundred eighty-three million, six hundred thirty thousand, eight hundred eighty".