981600 has 72 divisors (see below), whose sum is σ = 3202920. Its totient is φ = 261120.

The previous prime is 981599. The next prime is 981601. The reversal of 981600 is 6189.

It is an interprime number because it is at equal distance from previous prime (981599) and next prime (981601).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 7.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 981600.

It is not an unprimeable number, because it can be changed into a prime (981601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2196 + ... + 2604.

It is an arithmetic number, because the mean of its divisors is an integer number (44485).

2⁹⁸¹⁶⁰⁰ 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 981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601460).

981600 is an abundant number, since it is smaller than the sum of its proper divisors (2221320).

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

981600 is a wasteful number, since it uses less digits than its factorization.

981600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 981600 is about 990.7572861201. The cubic root of 981600 is about 99.3828659570.

Adding to 981600 its reverse (6189), we get a palindrome (987789).

The spelling of 981600 in words is "nine hundred eighty-one thousand, six hundred".