981892800 has 672 divisors, whose sum is σ = 4354007040. Its totient is φ = 210124800.

The previous prime is 981892789. The next prime is 981892823. The reversal of 981892800 is 8298189.

981892800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×981892800² = 1928226941383680000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5140705 + ... + 5140895.

Almost surely, 2^981892800 is an apocalyptic number.

981892800 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 981892800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2177003520).

981892800 is an abundant number, since it is smaller than the sum of its proper divisors (3372114240).

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

981892800 is a wasteful number, since it uses less digits than its factorization.

981892800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 981892800 is about 31335.1687405701. The cubic root of 981892800 is about 993.9274656360.

The spelling of 981892800 in words is "nine hundred eighty-one million, eight hundred ninety-two thousand, eight hundred".