213321888 has 144 divisors (see below), whose sum is σ = 658790496. Its totient is φ = 65088000.

The previous prime is 213321853. The next prime is 213321907. The reversal of 213321888 is 888123312.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 849763 + ... + 850013.

It is an arithmetic number, because the mean of its divisors is an integer number (4574934).

Almost surely, 2^213321888 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 213321888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329395248).

213321888 is an abundant number, since it is smaller than the sum of its proper divisors (445468608).

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

213321888 is a wasteful number, since it uses less digits than its factorization.

213321888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 496 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 213321888 is about 14605.5430573464. The cubic root of 213321888 is about 597.5099470225.

It can be divided in two parts, 21332 and 1888, that added together give a triangular number (23220 = T₂₁₅).

The spelling of 213321888 in words is "two hundred thirteen million, three hundred twenty-one thousand, eight hundred eighty-eight".