213727360 has 128 divisors (see below), whose sum is σ = 637165440. Its totient is φ = 66600960.

The previous prime is 213727343. The next prime is 213727391. The reversal of 213727360 is 63727312.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47112 + ... + 51448.

It is an arithmetic number, because the mean of its divisors is an integer number (4977855).

Almost surely, 2^213727360 is an apocalyptic number.

213727360 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 213727360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318582720).

213727360 is an abundant number, since it is smaller than the sum of its proper divisors (423438080).

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

213727360 is a wasteful number, since it uses less digits than its factorization.

213727360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4362 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 213727360 is about 14619.4172250470. The cubic root of 213727360 is about 597.8882801552. Note that the first 3 decimals are identical.

The spelling of 213727360 in words is "two hundred thirteen million, seven hundred twenty-seven thousand, three hundred sixty".