213352360 has 96 divisors (see below), whose sum is σ = 534484440. Its totient is φ = 76557312.

The previous prime is 213352357. The next prime is 213352367. The reversal of 213352360 is 63253312.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 2696164 + 210656196 = 1642^2 + 14514^2 .

It is not an unprimeable number, because it can be changed into a prime (213352367) 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, 249694 + ... + 250546.

Almost surely, 2^213352360 is an apocalyptic number.

213352360 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 213352360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267242220).

213352360 is an abundant number, since it is smaller than the sum of its proper divisors (321132080).

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

213352360 is a wasteful number, since it uses less digits than its factorization.

213352360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 927 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 213352360 is about 14606.5861856903. The cubic root of 213352360 is about 597.5383961367.

The spelling of 213352360 in words is "two hundred thirteen million, three hundred fifty-two thousand, three hundred sixty".