981384000 has 224 divisors, whose sum is σ = 3280233216. Its totient is φ = 258508800.

The previous prime is 981383929. The next prime is 981384013. The reversal of 981384000 is 483189.

It is a super-2 number, since 2×981384000² = 1926229110912000000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2471802 + ... + 2472198.

Almost surely, 2^981384000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 981384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1640116608).

981384000 is an abundant number, since it is smaller than the sum of its proper divisors (2298849216).

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

981384000 is a wasteful number, since it uses less digits than its factorization.

981384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 981384000 is about 31327.0490151881. The cubic root of 981384000 is about 993.7557572547.

The spelling of 981384000 in words is "nine hundred eighty-one million, three hundred eighty-four thousand".