868819392 has 336 divisors, whose sum is σ = 3076285440. Its totient is φ = 239500800.

The previous prime is 868819313. The next prime is 868819417. The reversal of 868819392 is 293918868.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2624667 + ... + 2624997.

Almost surely, 2^868819392 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 868819392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1538142720).

868819392 is an abundant number, since it is smaller than the sum of its proper divisors (2207466048).

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

868819392 is a wasteful number, since it uses less digits than its factorization.

868819392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 374 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 868819392 is about 29475.7424333977. The cubic root of 868819392 is about 954.2082532584.

The spelling of 868819392 in words is "eight hundred sixty-eight million, eight hundred nineteen thousand, three hundred ninety-two".