919795968 has 432 divisors, whose sum is σ = 3374856576. Its totient is φ = 234455040.

The previous prime is 919795963. The next prime is 919795979. The reversal of 919795968 is 869597919.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (919795963) 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, 8596171 + ... + 8596277.

It is an arithmetic number, because the mean of its divisors is an integer number (7812168).

Almost surely, 2^919795968 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 919795968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687428288).

919795968 is an abundant number, since it is smaller than the sum of its proper divisors (2455060608).

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

919795968 is a wasteful number, since it uses less digits than its factorization.

919795968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 173 counting only the distinct ones).

The product of its digits is 11022480, while the sum is 63.

The square root of 919795968 is about 30328.1382217900. The cubic root of 919795968 is about 972.5169226266.

The spelling of 919795968 in words is "nine hundred nineteen million, seven hundred ninety-five thousand, nine hundred sixty-eight".