968295870 has 160 divisors (see below), whose sum is σ = 2681553600. Its totient is φ = 250629120.

The previous prime is 968295857. The next prime is 968295901. The reversal of 968295870 is 78592869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6498556 + ... + 6498704.

It is an arithmetic number, because the mean of its divisors is an integer number (16759710).

Almost surely, 2^968295870 is an apocalyptic number.

968295870 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 968295870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340776800).

968295870 is an abundant number, since it is smaller than the sum of its proper divisors (1713257730).

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

968295870 is a wasteful number, since it uses less digits than its factorization.

968295870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 968295870 is about 31117.4528199208. The cubic root of 968295870 is about 989.3182634308.

The spelling of 968295870 in words is "nine hundred sixty-eight million, two hundred ninety-five thousand, eight hundred seventy".