981094032 has 210 divisors, whose sum is σ = 3020804982. Its totient is φ = 308489472.

The previous prime is 981094019. The next prime is 981094033. The reversal of 981094032 is 230490189.

981094032 is digitally balanced in base 2, 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 only one way, i.e., 711608976 + 269485056 = 26676^2 + 16416^2 .

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 (981094033) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 4210588 + ... + 4210820.

Almost surely, 2^981094032 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 981094032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510402491).

981094032 is an abundant number, since it is smaller than the sum of its proper divisors (2039710950).

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

981094032 is a wasteful number, since it uses less digits than its factorization.

981094032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 981094032 is about 31322.4205961161. The cubic root of 981094032 is about 993.6578731256.

The spelling of 981094032 in words is "nine hundred eighty-one million, ninety-four thousand, thirty-two".