396116760 has 128 divisors (see below), whose sum is σ = 1321205760. Its totient is φ = 94348800.

The previous prime is 396116723. The next prime is 396116767. The reversal of 396116760 is 67611693.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (396116767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44265 + ... + 52455.

It is an arithmetic number, because the mean of its divisors is an integer number (10321920).

Almost surely, 2^396116760 is an apocalyptic number.

396116760 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 396116760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660602880).

396116760 is an abundant number, since it is smaller than the sum of its proper divisors (925089000).

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

396116760 is a wasteful number, since it uses less digits than its factorization.

396116760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8249 (or 8245 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 396116760 is about 19902.6822312974. The cubic root of 396116760 is about 734.4142123260.

The spelling of 396116760 in words is "three hundred ninety-six million, one hundred sixteen thousand, seven hundred sixty".