393620 has 12 divisors (see below), whose sum is σ = 826644. Its totient is φ = 157440.

The previous prime is 393611. The next prime is 393629. The reversal of 393620 is 26393.

It is a happy number.

393620 is nontrivially palindromic in base 14.

It is an interprime number because it is at equal distance from previous prime (393611) and next prime (393629).

It can be written as a sum of positive squares in 2 ways, for example, as 293764 + 99856 = 542^2 + 316^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (393629) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9821 + ... + 9860.

It is an arithmetic number, because the mean of its divisors is an integer number (68887).

393620 is a Friedman number, since it can be written as 20*(3^9-6/3), using all its digits and the basic arithmetic operations.

2³⁹³⁶²⁰ is an apocalyptic number.

It is an amenable number.

393620 is an abundant number, since it is smaller than the sum of its proper divisors (433024).

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

393620 is a wasteful number, since it uses less digits than its factorization.

393620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19690 (or 19688 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 23.

The square root of 393620 is about 627.3914248697. The cubic root of 393620 is about 73.2867932433.

The spelling of 393620 in words is "three hundred ninety-three thousand, six hundred twenty".