863880192 has 198 divisors, whose sum is σ = 2903206878. Its totient is φ = 246693888.

The previous prime is 863880167. The next prime is 863880221. The reversal of 863880192 is 291088368.

863880192 is a `hidden beast` number, since 8 + 638 + 8 + 0 + 1 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 834978816 + 28901376 = 28896^2 + 5376^2 .

It is a super-2 number, since 2×863880192² = 1492577972259913728, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 450628 + ... + 452540.

It is an arithmetic number, because the mean of its divisors is an integer number (14662661).

Almost surely, 2^863880192 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 863880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451603439).

863880192 is an abundant number, since it is smaller than the sum of its proper divisors (2039326686).

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

863880192 is a wasteful number, since it uses less digits than its factorization.

863880192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1953 (or 1925 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 863880192 is about 29391.8388672774. The cubic root of 863880192 is about 952.3966052234.

The spelling of 863880192 in words is "eight hundred sixty-three million, eight hundred eighty thousand, one hundred ninety-two".