983632896 has 264 divisors, whose sum is σ = 3040040640. Its totient is φ = 317509632.

The previous prime is 983632889. The next prime is 983632939. The reversal of 983632896 is 698236389.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14681055 + ... + 14681121.

Almost surely, 2^983632896 is an apocalyptic number.

983632896 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 983632896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520020320).

983632896 is an abundant number, since it is smaller than the sum of its proper divisors (2056407744).

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

983632896 is an equidigital number, since it uses as much as digits as its factorization.

983632896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 131 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 983632896 is about 31362.9223128203. The cubic root of 983632896 is about 994.5142603553.

The spelling of 983632896 in words is "nine hundred eighty-three million, six hundred thirty-two thousand, eight hundred ninety-six".