981090468 has 120 divisors (see below), whose sum is σ = 2762575200. Its totient is φ = 302476032.

The previous prime is 981090433. The next prime is 981090469. The reversal of 981090468 is 864090189.

981090468 is a `hidden beast` number, since 98 + 10 + 90 + 468 = 666.

It is not an unprimeable number, because it can be changed into a prime (981090469) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 323463 + ... + 326481.

It is an arithmetic number, because the mean of its divisors is an integer number (23021460).

Almost surely, 2^981090468 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 981090468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381287600).

981090468 is an abundant number, since it is smaller than the sum of its proper divisors (1781484732).

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

981090468 is a wasteful number, since it uses less digits than its factorization.

981090468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3111 (or 3100 counting only the distinct ones).

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

The square root of 981090468 is about 31322.3637039097. The cubic root of 981090468 is about 993.6566699107.

The spelling of 981090468 in words is "nine hundred eighty-one million, ninety thousand, four hundred sixty-eight".