968126208 has 144 divisors (see below), whose sum is σ = 2975540736. Its totient is φ = 273715200.

The previous prime is 968126197. The next prime is 968126231. The reversal of 968126208 is 802621869.

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

It is a self number, because there is not a number n which added to its sum of digits gives 968126208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 542085 + ... + 543867.

Almost surely, 2^968126208 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 968126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487770368).

968126208 is an abundant number, since it is smaller than the sum of its proper divisors (2007414528).

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

968126208 is a wasteful number, since it uses less digits than its factorization.

968126208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 968126208 is about 31114.7265454800. The cubic root of 968126208 is about 989.2604782280.

The spelling of 968126208 in words is "nine hundred sixty-eight million, one hundred twenty-six thousand, two hundred eight".