396116 has 36 divisors (see below), whose sum is σ = 842688. Its totient is φ = 162288.

The previous prime is 396107. The next prime is 396119. The reversal of 396116 is 611693.

396116 = 8³ + 9³ + ... + 35³.

Its product of digits (972) is a multiple of the sum of its prime factors (108).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396119) by changing a digit.

396116 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 11 ways as a sum of consecutive naturals, for example, 8405 + ... + 8451.

It is an arithmetic number, because the mean of its divisors is an integer number (23408).

2³⁹⁶¹¹⁶ 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 396116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421344).

396116 is an abundant number, since it is smaller than the sum of its proper divisors (446572).

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

396116 is a wasteful number, since it uses less digits than its factorization.

396116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 99 counting only the distinct ones).

The product of its digits is 972, while the sum is 26.

The square root of 396116 is about 629.3774702037. The cubic root of 396116 is about 73.4413742637.

It can be divided in two parts, 396 and 116, that added together give a 9-th power (512 = 2⁹).

The spelling of 396116 in words is "three hundred ninety-six thousand, one hundred sixteen".