981162000 has 480 divisors, whose sum is σ = 4224729600. Its totient is φ = 206668800.

The previous prime is 981161999. The next prime is 981162001. The reversal of 981162000 is 261189.

It is an interprime number because it is at equal distance from previous prime (981161999) and next prime (981162001).

It is not an unprimeable number, because it can be changed into a prime (981162001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1637701 + ... + 1638299.

It is an arithmetic number, because the mean of its divisors is an integer number (8801520).

Almost surely, 2^981162000 is an apocalyptic number.

981162000 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 981162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112364800).

981162000 is an abundant number, since it is smaller than the sum of its proper divisors (3243567600).

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

981162000 is a wasteful number, since it uses less digits than its factorization.

981162000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 981162000 is about 31323.5055509437. The cubic root of 981162000 is about 993.6808187273.

The spelling of 981162000 in words is "nine hundred eighty-one million, one hundred sixty-two thousand".