863341920 has 288 divisors, whose sum is σ = 3450807360. Its totient is φ = 192430080.

The previous prime is 863341883. The next prime is 863341933. The reversal of 863341920 is 29143368.

863341920 is a `hidden beast` number, since 8 + 633 + 4 + 19 + 2 + 0 = 666.

863341920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412236 + ... + 414324.

It is an arithmetic number, because the mean of its divisors is an integer number (11981970).

Almost surely, 2^863341920 is an apocalyptic number.

863341920 is a gapful number since it is divisible by the number (80) 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 863341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725403680).

863341920 is an abundant number, since it is smaller than the sum of its proper divisors (2587465440).

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

863341920 is a wasteful number, since it uses less digits than its factorization.

863341920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2158 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 863341920 is about 29382.6806129053. The cubic root of 863341920 is about 952.1987556674.

The spelling of 863341920 in words is "eight hundred sixty-three million, three hundred forty-one thousand, nine hundred twenty".