391317696 has 448 divisors, whose sum is σ = 1527413760. Its totient is φ = 95109120.

The previous prime is 391317659. The next prime is 391317697. The reversal of 391317696 is 696713193.

391317696 is a `hidden beast` number, since 391 + 3 + 176 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (391317697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2261866 + ... + 2262038.

Almost surely, 2^391317696 is an apocalyptic number.

391317696 is a gapful number since it is divisible by the number (36) 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 391317696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763706880).

391317696 is an abundant number, since it is smaller than the sum of its proper divisors (1136096064).

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

391317696 is a wasteful number, since it uses less digits than its factorization.

391317696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 213 counting only the distinct ones).

The product of its digits is 183708, while the sum is 45.

The square root of 391317696 is about 19781.7515907970. The cubic root of 391317696 is about 731.4362765418.

It can be divided in two parts, 3913 and 17696, that added together give a square (21609 = 147²).

The spelling of 391317696 in words is "three hundred ninety-one million, three hundred seventeen thousand, six hundred ninety-six".