864219888 has 160 divisors (see below), whose sum is σ = 3001950720. Its totient is φ = 232381440.

The previous prime is 864219827. The next prime is 864219911. The reversal of 864219888 is 888912468.

864219888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43003 + ... + 59813.

It is an arithmetic number, because the mean of its divisors is an integer number (18762192).

Almost surely, 2^864219888 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 864219888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500975360).

864219888 is an abundant number, since it is smaller than the sum of its proper divisors (2137730832).

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

864219888 is a wasteful number, since it uses less digits than its factorization.

864219888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16852 (or 16840 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 54.

The square root of 864219888 is about 29397.6170462846. The cubic root of 864219888 is about 952.5214230410.

The spelling of 864219888 in words is "eight hundred sixty-four million, two hundred nineteen thousand, eight hundred eighty-eight".