981616896 has 162 divisors, whose sum is σ = 3065917218. Its totient is φ = 301916160.

The previous prime is 981616871. The next prime is 981616901. The reversal of 981616896 is 698616189.

It can be written as a sum of positive squares in 3 ways, for example, as 132710400 + 848906496 = 11520^2 + 29136^2 .

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 17 ways as a sum of consecutive naturals, for example, 388116 + ... + 390636.

Almost surely, 2^981616896 is an apocalyptic number.

981616896 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 981616896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532958609).

981616896 is an abundant number, since it is smaller than the sum of its proper divisors (2084300322).

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

981616896 is a wasteful number, since it uses less digits than its factorization.

981616896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2569 (or 2539 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The square root of 981616896 is about 31330.7659657404. The cubic root of 981616896 is about 993.8343617001.

The spelling of 981616896 in words is "nine hundred eighty-one million, six hundred sixteen thousand, eight hundred ninety-six".