821345888 has 96 divisors (see below), whose sum is σ = 1932608160. Its totient is φ = 339189760.

The previous prime is 821345887. The next prime is 821345897. The reversal of 821345888 is 888543128.

821345888 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (821345887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 171170 + ... + 175902.

It is an arithmetic number, because the mean of its divisors is an integer number (20131335).

Almost surely, 2^821345888 is an apocalyptic number.

821345888 is a gapful number since it is divisible by the number (88) 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 821345888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966304080).

821345888 is an abundant number, since it is smaller than the sum of its proper divisors (1111262272).

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

821345888 is a wasteful number, since it uses less digits than its factorization.

821345888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4800 (or 4792 counting only the distinct ones).

The product of its digits is 491520, while the sum is 47.

The square root of 821345888 is about 28659.1327154190. The cubic root of 821345888 is about 936.5019709895.

The spelling of 821345888 in words is "eight hundred twenty-one million, three hundred forty-five thousand, eight hundred eighty-eight".