396720 has 120 divisors (see below), whose sum is σ = 1450800. Its totient is φ = 96768.

The previous prime is 396719. The next prime is 396733. The reversal of 396720 is 27693.

It is a tau number, because it is divible by the number of its divisors (120).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 396720.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13666 + ... + 13694.

It is an arithmetic number, because the mean of its divisors is an integer number (12090).

2³⁹⁶⁷²⁰ is an apocalyptic number.

396720 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 396720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725400).

396720 is an abundant number, since it is smaller than the sum of its proper divisors (1054080).

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

396720 is a wasteful number, since it uses less digits than its factorization.

396720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 396720 is about 629.8571266565. The cubic root of 396720 is about 73.4786832532.

Subtracting from 396720 its sum of digits (27), we obtain a palindrome (396693).

The spelling of 396720 in words is "three hundred ninety-six thousand, seven hundred twenty".