396600 has 48 divisors (see below), whose sum is σ = 1231320. Its totient is φ = 105600.

The previous prime is 396581. The next prime is 396601. The reversal of 396600 is 6693.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396600.

It is not an unprimeable number, because it can be changed into a prime (396601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 270 + ... + 930.

2³⁹⁶⁶⁰⁰ is an apocalyptic number.

396600 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 396600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615660).

396600 is an abundant number, since it is smaller than the sum of its proper divisors (834720).

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

396600 is a wasteful number, since it uses less digits than its factorization.

396600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 396600 is about 629.7618597534. The cubic root of 396600 is about 73.4712738871.

The spelling of 396600 in words is "three hundred ninety-six thousand, six hundred".