368392968 has 64 divisors (see below), whose sum is σ = 1032768000. Its totient is φ = 121663296.

The previous prime is 368392949. The next prime is 368393017. The reversal of 368392968 is 869293863.

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

It is a nude number because it is divisible by every one of its digits.

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, 15721 + ... + 31367.

It is an arithmetic number, because the mean of its divisors is an integer number (16137000).

Almost surely, 2^368392968 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 368392968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516384000).

368392968 is an abundant number, since it is smaller than the sum of its proper divisors (664375032).

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

368392968 is a wasteful number, since it uses less digits than its factorization.

368392968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15771 (or 15761 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 368392968 is about 19193.5657969018. The cubic root of 368392968 is about 716.8645601213.

The spelling of 368392968 in words is "three hundred sixty-eight million, three hundred ninety-two thousand, nine hundred sixty-eight".