863862120 has 288 divisors, whose sum is σ = 3178712160. Its totient is φ = 201772800.

The previous prime is 863862119. The next prime is 863862143. The reversal of 863862120 is 21268368.

863862120 is a `hidden beast` number, since 8 + 6 + 3 + 8 + 621 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3805447 + ... + 3805673.

It is an arithmetic number, because the mean of its divisors is an integer number (11037195).

Almost surely, 2^863862120 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 863862120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589356080).

863862120 is an abundant number, since it is smaller than the sum of its proper divisors (2314850040).

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

863862120 is a wasteful number, since it uses less digits than its factorization.

863862120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 863862120 is about 29391.5314333908. The cubic root of 863862120 is about 952.3899639354.

The spelling of 863862120 in words is "eight hundred sixty-three million, eight hundred sixty-two thousand, one hundred twenty".