968344020 has 144 divisors (see below), whose sum is σ = 3447819648. Its totient is φ = 215343360.

The previous prime is 968343979. The next prime is 968344033. The reversal of 968344020 is 20443869.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36235 + ... + 57005.

It is an arithmetic number, because the mean of its divisors is an integer number (23943192).

Almost surely, 2^968344020 is an apocalyptic number.

968344020 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 968344020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723909824).

968344020 is an abundant number, since it is smaller than the sum of its proper divisors (2479475628).

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

968344020 is a wasteful number, since it uses less digits than its factorization.

968344020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20830 (or 20825 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 968344020 is about 31118.2264918809. The cubic root of 968344020 is about 989.3346616159.

Adding to 968344020 its reverse (20443869), we get a palindrome (988787889).

The spelling of 968344020 in words is "nine hundred sixty-eight million, three hundred forty-four thousand, twenty".