213286320 has 120 divisors (see below), whose sum is σ = 771419376. Its totient is φ = 52498944.

The previous prime is 213286309. The next prime is 213286327. The reversal of 213286320 is 23682312.

213286320 is a `hidden beast` number, since 2 + 1 + 3 + 28 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (213286327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2034 + ... + 20753.

Almost surely, 2^213286320 is an apocalyptic number.

213286320 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 213286320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385709688).

213286320 is an abundant number, since it is smaller than the sum of its proper divisors (558133056).

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

213286320 is a wasteful number, since it uses less digits than its factorization.

213286320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22819 (or 22810 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 213286320 is about 14604.3253866791. The cubic root of 213286320 is about 597.4767367798.

The spelling of 213286320 in words is "two hundred thirteen million, two hundred eighty-six thousand, three hundred twenty".