981900 has 54 divisors (see below), whose sum is σ = 3080532. Its totient is φ = 261600.

The previous prime is 981889. The next prime is 981913. The reversal of 981900 is 9189.

It is a super-2 number, since 2×981900² = 1928255220000, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 981900.

It is an unprimeable number.

981900 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 17 ways as a sum of consecutive naturals, for example, 355 + ... + 1445.

2⁹⁸¹⁹⁰⁰ is an apocalyptic number.

981900 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 981900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1540266).

981900 is an abundant number, since it is smaller than the sum of its proper divisors (2098632).

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

981900 is a wasteful number, since it uses less digits than its factorization.

981900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 981900 is about 990.9086738948. The cubic root of 981900 is about 99.3929895046.

It can be divided in two parts, 981 and 900, that added together give a palindrome (1881).

The spelling of 981900 in words is "nine hundred eighty-one thousand, nine hundred".