968408070 has 192 divisors, whose sum is σ = 2836684800. Its totient is φ = 210712320.

The previous prime is 968408059. The next prime is 968408083. The reversal of 968408070 is 70804869.

It is a happy number.

968408070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×968408070² = 1875628380082249800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3599896 + ... + 3600164.

It is an arithmetic number, because the mean of its divisors is an integer number (14774400).

Almost surely, 2^968408070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 968408070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1418342400).

968408070 is an abundant number, since it is smaller than the sum of its proper divisors (1868276730).

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

968408070 is a wasteful number, since it uses less digits than its factorization.

968408070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 968408070 is about 31119.2556144905. The cubic root of 968408070 is about 989.3564739356.

The spelling of 968408070 in words is "nine hundred sixty-eight million, four hundred eight thousand, seventy".