981568 has 42 divisors (see below), whose sum is σ = 2273046. Its totient is φ = 419328.

The previous prime is 981527. The next prime is 981569. The reversal of 981568 is 865189.

981568 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., 529984 + 451584 = 728^2 + 672^2 .

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (981569) by changing a digit.

981568 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 5 ways as a sum of consecutive naturals, for example, 2980 + ... + 3292.

2⁹⁸¹⁵⁶⁸ is an apocalyptic number.

981568 is a gapful number since it is divisible by the number (98) 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 981568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1136523).

981568 is an abundant number, since it is smaller than the sum of its proper divisors (1291478).

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

981568 is a wasteful number, since it uses less digits than its factorization.

981568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 322 counting only the distinct ones).

The product of its digits is 17280, while the sum is 37.

The square root of 981568 is about 990.7411367254. The cubic root of 981568 is about 99.3817859902.

It can be divided in two parts, 98 and 1568, that multiplied together give a square (153664 = 392²).

The spelling of 981568 in words is "nine hundred eighty-one thousand, five hundred sixty-eight".