393679968 has 48 divisors (see below), whose sum is σ = 1127359296. Its totient is φ = 119296640.

The previous prime is 393679961. The next prime is 393679969. The reversal of 393679968 is 869976393.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393679961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 185346 + ... + 187457.

It is an arithmetic number, because the mean of its divisors is an integer number (23486652).

Almost surely, 2^393679968 is an apocalyptic number.

It is an amenable number.

393679968 is an abundant number, since it is smaller than the sum of its proper divisors (733679328).

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

393679968 is a wasteful number, since it uses less digits than its factorization.

393679968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372827 (or 372819 counting only the distinct ones).

The product of its digits is 13226976, while the sum is 60.

The square root of 393679968 is about 19841.3701139815. The cubic root of 393679968 is about 732.9051480157.

It can be divided in two parts, 393 and 679968, that added together give a triangular number (680361 = T₁₁₆₆).

The spelling of 393679968 in words is "three hundred ninety-three million, six hundred seventy-nine thousand, nine hundred sixty-eight".