393637968 has 100 divisors (see below), whose sum is σ = 1170236980. Its totient is φ = 127650816.

The previous prime is 393637963. The next prime is 393637997. The reversal of 393637968 is 869736393.

It can be written as a sum of positive squares in 2 ways, for example, as 184199184 + 209438784 = 13572^2 + 14472^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393637963) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43848 + ... + 52056.

Almost surely, 2^393637968 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 393637968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585118490).

393637968 is an abundant number, since it is smaller than the sum of its proper divisors (776599012).

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

393637968 is a wasteful number, since it uses less digits than its factorization.

393637968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8266 (or 8251 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The square root of 393637968 is about 19840.3116911000. The cubic root of 393637968 is about 732.8790836035.

The spelling of 393637968 in words is "three hundred ninety-three million, six hundred thirty-seven thousand, nine hundred sixty-eight".