215648 has 24 divisors (see below), whose sum is σ = 444528. Its totient is φ = 102784.

The previous prime is 215617. The next prime is 215653. The reversal of 215648 is 846512.

It is a super-3 number, since 3×215648³ = 30085522530533376, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

215648 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 590 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (18522).

2²¹⁵⁶⁴⁸ 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 215648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222264).

215648 is an abundant number, since it is smaller than the sum of its proper divisors (228880).

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

215648 is a wasteful number, since it uses less digits than its factorization.

215648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 215648 is about 464.3791554323. The cubic root of 215648 is about 59.9673896867.

The spelling of 215648 in words is "two hundred fifteen thousand, six hundred forty-eight".