193815968 has 48 divisors (see below), whose sum is σ = 402361344. Its totient is φ = 91764480.

The previous prime is 193815943. The next prime is 193815983. The reversal of 193815968 is 869518391.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44546 + ... + 48702.

It is an arithmetic number, because the mean of its divisors is an integer number (8382528).

Almost surely, 2^193815968 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 193815968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201180672).

193815968 is an abundant number, since it is smaller than the sum of its proper divisors (208545376).

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

193815968 is a wasteful number, since it uses less digits than its factorization.

193815968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245 (or 4237 counting only the distinct ones).

The product of its digits is 466560, while the sum is 50.

The square root of 193815968 is about 13921.7803459184. The cubic root of 193815968 is about 578.7129287862.

The spelling of 193815968 in words is "one hundred ninety-three million, eight hundred fifteen thousand, nine hundred sixty-eight".