1081981800 has 336 divisors, whose sum is σ = 3885024780. Its totient is φ = 279936000.

The previous prime is 1081981799. The next prime is 1081981807. The reversal of 1081981800 is 81891801.

1081981800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 492804 + 1081488996 = 702^2 + 32886^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1081981807) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 5977710 + ... + 5977890.

Almost surely, 2^1081981800 is an apocalyptic number.

1081981800 is a gapful number since it is divisible by the number (10) 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 1081981800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1942512390).

1081981800 is an abundant number, since it is smaller than the sum of its proper divisors (2803042980).

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

1081981800 is a wasteful number, since it uses less digits than its factorization.

1081981800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 36.

The square root of 1081981800 is about 32893.4917574890. The cubic root of 1081981800 is about 1026.6127457110.

The spelling of 1081981800 in words is "one billion, eighty-one million, nine hundred eighty-one thousand, eight hundred".