393660 has 60 divisors (see below), whose sum is σ = 1240008. Its totient is φ = 104976.

The previous prime is 393649. The next prime is 393667. The reversal of 393660 is 66393.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393667) by changing a digit.

393660 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78730 + ... + 78734.

393660 is a Friedman number, since it can be written as (60*(6-3)^9)/3, using all its digits and the basic arithmetic operations.

2³⁹³⁶⁶⁰ is an apocalyptic number.

393660 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 393660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620004).

393660 is an abundant number, since it is smaller than the sum of its proper divisors (846348).

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

393660 is an frugal number, since it uses more digits than its factorization.

393660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 393660 is about 627.4233020856. The cubic root of 393660 is about 73.2892756481.

The spelling of 393660 in words is "three hundred ninety-three thousand, six hundred sixty".