968040 has 48 divisors (see below), whose sum is σ = 3147300. Its totient is φ = 258048.

The previous prime is 968027. The next prime is 968041. The reversal of 968040 is 40869.

968040 = T₄₃₅ + T₄₃₆ + ... + T₄₄₄.

968040 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 842724 + 125316 = 918^2 + 354^2 .

It is a junction number, because it is equal to n+sod(n) for n = 967995 and 968013.

It is a congruent number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 985 + ... + 1704.

2⁹⁶⁸⁰⁴⁰ is an apocalyptic number.

968040 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

968040 is an abundant number, since it is smaller than the sum of its proper divisors (2179260).

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

968040 is a wasteful number, since it uses less digits than its factorization.

968040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2706 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 968040 is about 983.8902377806. The cubic root of 968040 is about 98.9231114047.

The spelling of 968040 in words is "nine hundred sixty-eight thousand, forty".