981288000 has 896 divisors, whose sum is σ = 4564684800. Its totient is φ = 200448000.

The previous prime is 981287977. The next prime is 981288013. The reversal of 981288000 is 882189.

It is a super-2 number, since 2×981288000² = 1925852277888000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16631971 + ... + 16632029.

Almost surely, 2^981288000 is an apocalyptic number.

981288000 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 981288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282342400).

981288000 is an abundant number, since it is smaller than the sum of its proper divisors (3583396800).

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

981288000 is a wasteful number, since it uses less digits than its factorization.

981288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 981288000 is about 31325.5167555142. The cubic root of 981288000 is about 993.7233527921.

The spelling of 981288000 in words is "nine hundred eighty-one million, two hundred eighty-eight thousand".