863505368 has 48 divisors (see below), whose sum is σ = 1784727000. Its totient is φ = 391381760.

The previous prime is 863505367. The next prime is 863505389.

863505368 is nontrivially palindromic in base 10.

863505368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863505367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 404528 + ... + 406656.

Almost surely, 2^863505368 is an apocalyptic number.

863505368 is a gapful number since it is divisible by the number (88) 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 863505368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892363500).

863505368 is an abundant number, since it is smaller than the sum of its proper divisors (921221632).

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

863505368 is a wasteful number, since it uses less digits than its factorization.

863505368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2576 (or 2561 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 863505368 is about 29385.4618476552. The cubic root of 863505368 is about 952.2588420048.

The spelling of 863505368 in words is "eight hundred sixty-three million, five hundred five thousand, three hundred sixty-eight".