863104032 has 576 divisors, whose sum is σ = 3274992000. Its totient is φ = 219469824.

The previous prime is 863104031. The next prime is 863104037. The reversal of 863104032 is 230401368.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 863103987 and 863104005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (863104031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23327118 + ... + 23327154.

It is an arithmetic number, because the mean of its divisors is an integer number (5685750).

Almost surely, 2^863104032 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 863104032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637496000).

863104032 is an abundant number, since it is smaller than the sum of its proper divisors (2411887968).

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

863104032 is a wasteful number, since it uses less digits than its factorization.

863104032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 863104032 is about 29378.6322350105. The cubic root of 863104032 is about 952.1112903343. Note that the first 3 decimals are identical.

The spelling of 863104032 in words is "eight hundred sixty-three million, one hundred four thousand, thirty-two".