868353696 has 432 divisors, whose sum is σ = 3105726624. Its totient is φ = 237758976.

The previous prime is 868353677. The next prime is 868353697. The reversal of 868353696 is 696353868.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (5598720) is a multiple of the sum of its prime divisors (108).

It is not an unprimeable number, because it can be changed into a prime (868353697) 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 71 ways as a sum of consecutive naturals, for example, 16384006 + ... + 16384058.

It is an arithmetic number, because the mean of its divisors is an integer number (7189182).

Almost surely, 2^868353696 is an apocalyptic number.

868353696 is a gapful number since it is divisible by the number (86) 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 868353696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552863312).

868353696 is an abundant number, since it is smaller than the sum of its proper divisors (2237372928).

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

868353696 is a wasteful number, since it uses less digits than its factorization.

868353696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 868353696 is about 29467.8417261937. The cubic root of 868353696 is about 954.0377343565.

The spelling of 868353696 in words is "eight hundred sixty-eight million, three hundred fifty-three thousand, six hundred ninety-six".