393936 has 40 divisors (see below), whose sum is σ = 1056480. Its totient is φ = 126336.

The previous prime is 393931. The next prime is 393947. The reversal of 393936 is 639393.

It is a junction number, because it is equal to n+sod(n) for n = 393897 and 393906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393931) 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, 1251 + ... + 1533.

It is an arithmetic number, because the mean of its divisors is an integer number (26412).

2³⁹³⁹³⁶ 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 393936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (528240).

393936 is an abundant number, since it is smaller than the sum of its proper divisors (662544).

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

393936 is a wasteful number, since it uses less digits than its factorization.

393936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 317 counting only the distinct ones).

The product of its digits is 13122, while the sum is 33.

The square root of 393936 is about 627.6432107495. The cubic root of 393936 is about 73.3063996591.

It can be divided in two parts, 3 and 93936, that added together give a palindrome (93939).

The spelling of 393936 in words is "three hundred ninety-three thousand, nine hundred thirty-six".