213680272 has 60 divisors (see below), whose sum is σ = 461129340. Its totient is φ = 95351040.

The previous prime is 213680267. The next prime is 213680279. The reversal of 213680272 is 272086312.

It can be written as a sum of positive squares in 2 ways, for example, as 62980096 + 150700176 = 7936^2 + 12276^2 .

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (213680279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199354 + ... + 200422.

It is an arithmetic number, because the mean of its divisors is an integer number (7685489).

Almost surely, 2^213680272 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 213680272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230564670).

213680272 is an abundant number, since it is smaller than the sum of its proper divisors (247449068).

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

213680272 is a wasteful number, since it uses less digits than its factorization.

213680272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 31.

The square root of 213680272 is about 14617.8066754216. The cubic root of 213680272 is about 597.8443683991.

The spelling of 213680272 in words is "two hundred thirteen million, six hundred eighty thousand, two hundred seventy-two".