981536 has 24 divisors (see below), whose sum is σ = 1987020. Its totient is φ = 476928.

The previous prime is 981527. The next prime is 981569. The reversal of 981536 is 635189.

981536 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 2 ways, for example, as 913936 + 67600 = 956^2 + 260^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

981536 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 770 + ... + 1598.

2⁹⁸¹⁵³⁶ 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 981536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (993510).

981536 is an abundant number, since it is smaller than the sum of its proper divisors (1005484).

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

981536 is a wasteful number, since it uses less digits than its factorization.

981536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 868 counting only the distinct ones).

The product of its digits is 6480, while the sum is 32.

The square root of 981536 is about 990.7249870676. The cubic root of 981536 is about 99.3807059999.

The spelling of 981536 in words is "nine hundred eighty-one thousand, five hundred thirty-six".