864163608 has 144 divisors (see below), whose sum is σ = 2762819640. Its totient is φ = 224421120.

The previous prime is 864163607. The next prime is 864163621. The reversal of 864163608 is 806361468.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 864163608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (864163603) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 139260 + ... + 145332.

Almost surely, 2^864163608 is an apocalyptic number.

864163608 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 864163608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1381409820).

864163608 is an abundant number, since it is smaller than the sum of its proper divisors (1898656032).

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

864163608 is a wasteful number, since it uses less digits than its factorization.

864163608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6118 (or 6096 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 864163608 is about 29396.6598102574. The cubic root of 864163608 is about 952.5007457920.

The spelling of 864163608 in words is "eight hundred sixty-four million, one hundred sixty-three thousand, six hundred eight".