213205888 has 64 divisors (see below), whose sum is σ = 488988000. Its totient is φ = 90703872.

The previous prime is 213205847. The next prime is 213205907. The reversal of 213205888 is 888502312.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 132706 + ... + 134302.

Almost surely, 2^213205888 is an apocalyptic number.

213205888 is a gapful number since it is divisible by the number (28) 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 213205888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244494000).

213205888 is an abundant number, since it is smaller than the sum of its proper divisors (275782112).

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

213205888 is a wasteful number, since it uses less digits than its factorization.

213205888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 37.

The square root of 213205888 is about 14601.5714222819. The cubic root of 213205888 is about 597.4016228969.

The spelling of 213205888 in words is "two hundred thirteen million, two hundred five thousand, eight hundred eighty-eight".