868362768 has 400 divisors, whose sum is σ = 3192851200. Its totient is φ = 221709312.

The previous prime is 868362749. The next prime is 868362773. The reversal of 868362768 is 867263868.

It is a happy number.

868362768 is a `hidden beast` number, since 8 + 6 + 8 + 3 + 627 + 6 + 8 = 666.

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 an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 4363533 + ... + 4363731.

It is an arithmetic number, because the mean of its divisors is an integer number (7982128).

Almost surely, 2^868362768 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 868362768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596425600).

868362768 is an abundant number, since it is smaller than the sum of its proper divisors (2324488432).

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

868362768 is a wasteful number, since it uses less digits than its factorization.

868362768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 261 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The square root of 868362768 is about 29467.9956563048. The cubic root of 868362768 is about 954.0410567355.

The spelling of 868362768 in words is "eight hundred sixty-eight million, three hundred sixty-two thousand, seven hundred sixty-eight".