213307360 has 96 divisors (see below), whose sum is σ = 579156480. Its totient is φ = 72724992.

The previous prime is 213307349. The next prime is 213307363. The reversal of 213307360 is 63703312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213307363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253821 + ... + 254659.

It is an arithmetic number, because the mean of its divisors is an integer number (6032880).

Almost surely, 2^213307360 is an apocalyptic number.

213307360 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 213307360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289578240).

213307360 is an abundant number, since it is smaller than the sum of its proper divisors (365849120).

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

213307360 is a wasteful number, since it uses less digits than its factorization.

213307360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1088 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 25.

The square root of 213307360 is about 14605.0457034547. The cubic root of 213307360 is about 597.4963825111.

The spelling of 213307360 in words is "two hundred thirteen million, three hundred seven thousand, three hundred sixty".