393640120 has 32 divisors (see below), whose sum is σ = 891648000. Its totient is φ = 156396928.

The previous prime is 393640073. The next prime is 393640129. The reversal of 393640120 is 21046393.

It is a super-2 number, since 2×393640120² = 309905088147228800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393640129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27064 + ... + 38983.

It is an arithmetic number, because the mean of its divisors is an integer number (27864000).

Almost surely, 2^393640120 is an apocalyptic number.

It is an amenable number.

393640120 is an abundant number, since it is smaller than the sum of its proper divisors (498007880).

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

393640120 is a wasteful number, since it uses less digits than its factorization.

393640120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66207 (or 66203 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 393640120 is about 19840.3659240448. The cubic root of 393640120 is about 732.8804191394.

The spelling of 393640120 in words is "three hundred ninety-three million, six hundred forty thousand, one hundred twenty".