981489600 has 756 divisors, whose sum is σ = 4410983304. Its totient is φ = 205148160.

The previous prime is 981489569. The next prime is 981489617. The reversal of 981489600 is 6984189.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 9172747 + ... + 9172853.

It is an arithmetic number, because the mean of its divisors is an integer number (5834634).

Almost surely, 2^981489600 is an apocalyptic number.

981489600 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 981489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2205491652).

981489600 is an abundant number, since it is smaller than the sum of its proper divisors (3429493704).

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

981489600 is a wasteful number, since it uses less digits than its factorization.

981489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 981489600 is about 31328.7344142721. The cubic root of 981489600 is about 993.7913997230.

The spelling of 981489600 in words is "nine hundred eighty-one million, four hundred eighty-nine thousand, six hundred".