213334560 has 336 divisors, whose sum is σ = 793255680. Its totient is φ = 54120960.

The previous prime is 213334553. The next prime is 213334609. The reversal of 213334560 is 65433312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 55 ways as a sum of consecutive naturals, for example, 3615811 + ... + 3615869.

It is an arithmetic number, because the mean of its divisors is an integer number (2360880).

Almost surely, 2^213334560 is an apocalyptic number.

213334560 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 213334560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396627840).

213334560 is an abundant number, since it is smaller than the sum of its proper divisors (579921120).

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

213334560 is an equidigital number, since it uses as much as digits as its factorization.

213334560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 213334560 is about 14605.9768588068. The cubic root of 213334560 is about 597.5217781200.

Adding to 213334560 its reverse (65433312), we get a palindrome (278767872).

The spelling of 213334560 in words is "two hundred thirteen million, three hundred thirty-four thousand, five hundred sixty".