968940 has 72 divisors (see below), whose sum is σ = 3363360. Its totient is φ = 221184.

The previous prime is 968939. The next prime is 968959. The reversal of 968940 is 49869.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 968895 and 968904.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 876 + ... + 1644.

2⁹⁶⁸⁹⁴⁰ is an apocalyptic number.

968940 is a gapful number since it is divisible by the number (90) 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 968940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681680).

968940 is an abundant number, since it is smaller than the sum of its proper divisors (2394420).

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

968940 is a wasteful number, since it uses less digits than its factorization.

968940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 786 counting only the distinct ones).

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

The square root of 968940 is about 984.3474996159. The cubic root of 968940 is about 98.9537586312.

The spelling of 968940 in words is "nine hundred sixty-eight thousand, nine hundred forty".