863460768 has 24 divisors (see below), whose sum is σ = 2266584768. Its totient is φ = 287820224.

The previous prime is 863460743. The next prime is 863460797. The reversal of 863460768 is 867064368.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4497096 + ... + 4497287.

It is an arithmetic number, because the mean of its divisors is an integer number (94441032).

Almost surely, 2^863460768 is an apocalyptic number.

It is an amenable number.

863460768 is an abundant number, since it is smaller than the sum of its proper divisors (1403124000).

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

863460768 is a wasteful number, since it uses less digits than its factorization.

863460768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994396 (or 8994388 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 863460768 is about 29384.7029591929. The cubic root of 863460768 is about 952.2424470187.

The spelling of 863460768 in words is "eight hundred sixty-three million, four hundred sixty thousand, seven hundred sixty-eight".