213360896 has 108 divisors (see below), whose sum is σ = 504363132. Its totient is φ = 89800704.

The previous prime is 213360887. The next prime is 213360919. The reversal of 213360896 is 698063312.

It can be written as a sum of positive squares in 2 ways, for example, as 80281600 + 133079296 = 8960^2 + 11536^2 .

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 11 ways as a sum of consecutive naturals, for example, 915596 + ... + 915828.

It is an arithmetic number, because the mean of its divisors is an integer number (4670029).

Almost surely, 2^213360896 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 213360896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252181566).

213360896 is an abundant number, since it is smaller than the sum of its proper divisors (291002236).

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

213360896 is an equidigital number, since it uses as much as digits as its factorization.

213360896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 213360896 is about 14606.8783797223. The cubic root of 213360896 is about 597.5463649880.

The spelling of 213360896 in words is "two hundred thirteen million, three hundred sixty thousand, eight hundred ninety-six".