213287880 has 128 divisors (see below), whose sum is σ = 703987200. Its totient is φ = 51366912.

The previous prime is 213287849. The next prime is 213287897. The reversal of 213287880 is 88782312.

213287880 is digitally balanced in base 3, 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 (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71866 + ... + 74774.

It is an arithmetic number, because the mean of its divisors is an integer number (5499900).

Almost surely, 2^213287880 is an apocalyptic number.

213287880 is a gapful number since it is divisible by the number (20) 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 213287880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351993600).

213287880 is an abundant number, since it is smaller than the sum of its proper divisors (490699320).

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

213287880 is a wasteful number, since it uses less digits than its factorization.

213287880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 39.

The square root of 213287880 is about 14604.3787954161. The cubic root of 213287880 is about 597.4781934468.

The spelling of 213287880 in words is "two hundred thirteen million, two hundred eighty-seven thousand, eight hundred eighty".