215264 has 36 divisors (see below), whose sum is σ = 500472. Its totient is φ = 89280.

The previous prime is 215261. The next prime is 215273. The reversal of 215264 is 462512.

It is a happy number.

Its product of digits (480) is a multiple of the sum of its prime divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6929 + ... + 6959.

It is an arithmetic number, because the mean of its divisors is an integer number (13902).

2²¹⁵²⁶⁴ 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 215264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250236).

215264 is an abundant number, since it is smaller than the sum of its proper divisors (285208).

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

215264 is an equidigital number, since it uses as much as digits as its factorization.

215264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 40 counting only the distinct ones).

The product of its digits is 480, while the sum is 20.

The square root of 215264 is about 463.9655159600. The cubic root of 215264 is about 59.9317743022.

Adding to 215264 its reverse (462512), we get a palindrome (677776).

The spelling of 215264 in words is "two hundred fifteen thousand, two hundred sixty-four".