981611136 has 384 divisors, whose sum is σ = 3386073600. Its totient is φ = 279936000.

The previous prime is 981611131. The next prime is 981611153. The reversal of 981611136 is 631116189.

It is a happy number.

981611136 is a `hidden beast` number, since 9 + 8 + 1 + 611 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 981611136.

It is not an unprimeable number, because it can be changed into a prime (981611131) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6500661 + ... + 6500811.

It is an arithmetic number, because the mean of its divisors is an integer number (8817900).

Almost surely, 2^981611136 is an apocalyptic number.

981611136 is a gapful number since it is divisible by the number (96) 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 981611136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1693036800).

981611136 is an abundant number, since it is smaller than the sum of its proper divisors (2404462464).

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

981611136 is a wasteful number, since it uses less digits than its factorization.

981611136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 981611136 is about 31330.6740431801. The cubic root of 981611136 is about 993.8324177995.

The spelling of 981611136 in words is "nine hundred eighty-one million, six hundred eleven thousand, one hundred thirty-six".