968046408 has 192 divisors, whose sum is σ = 3113510400. Its totient is φ = 265973760.

The previous prime is 968046407. The next prime is 968046421. The reversal of 968046408 is 804640869.

It is a happy number.

It is a super-2 number, since 2×968046408² = 1874227696083404928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (968046403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1632160 + ... + 1632752.

It is an arithmetic number, because the mean of its divisors is an integer number (16216200).

Almost surely, 2^968046408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968046408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556755200).

968046408 is an abundant number, since it is smaller than the sum of its proper divisors (2145463992).

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

968046408 is a wasteful number, since it uses less digits than its factorization.

968046408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 968046408 is about 31113.4441680763. Note that the first 3 decimals coincide. The cubic root of 968046408 is about 989.2332968011.

The spelling of 968046408 in words is "nine hundred sixty-eight million, forty-six thousand, four hundred eight".