981811200 has 360 divisors, whose sum is σ = 3510525312. Its totient is φ = 241172480.

The previous prime is 981811177. The next prime is 981811223. The reversal of 981811200 is 2118189.

It is an interprime number because it is at equal distance from previous prime (981811177) and next prime (981811223).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20889577 + ... + 20889623.

Almost surely, 2^981811200 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 981811200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755262656).

981811200 is an abundant number, since it is smaller than the sum of its proper divisors (2528714112).

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

981811200 is a wasteful number, since it uses less digits than its factorization.

981811200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The square root of 981811200 is about 31333.8666621277. The cubic root of 981811200 is about 993.8999314938.

Adding to 981811200 its reverse (2118189), we get a palindrome (983929389).

The spelling of 981811200 in words is "nine hundred eighty-one million, eight hundred eleven thousand, two hundred".