968049 has 12 divisors (see below), whose sum is σ = 1446900. Its totient is φ = 622944.

The previous prime is 968041. The next prime is 968063. The reversal of 968049 is 940869.

It can be written as a sum of positive squares in 2 ways, for example, as 378225 + 589824 = 615^2 + 768^2 .

It is not a de Polignac number, because 968049 - 2³ = 968041 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (968041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1594 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (120575).

2⁹⁶⁸⁰⁴⁹ is an apocalyptic number.

It is an amenable number.

968049 is a deficient number, since it is larger than the sum of its proper divisors (478851).

968049 is a wasteful number, since it uses less digits than its factorization.

968049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3744 (or 3741 counting only the distinct ones).

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

The square root of 968049 is about 983.8948114509. The cubic root of 968049 is about 98.9234179710.

The spelling of 968049 in words is "nine hundred sixty-eight thousand, forty-nine".