216048 has 40 divisors (see below), whose sum is σ = 638848. Its totient is φ = 61632.

The previous prime is 216037. The next prime is 216061. The reversal of 216048 is 840612.

216048 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 216048.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15 + ... + 657.

216048 is a Friedman number, since it can be written as 60^(2+1)+48, using all its digits and the basic arithmetic operations.

2²¹⁶⁰⁴⁸ is an apocalyptic number.

216048 is a gapful number since it is divisible by the number (28) 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 216048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319424).

216048 is an abundant number, since it is smaller than the sum of its proper divisors (422800).

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

216048 is a wasteful number, since it uses less digits than its factorization.

216048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 216048 is about 464.8096384543. The cubic root of 216048 is about 60.0044441153.

It can be divided in two parts, 21604 and 8, that added together give a palindrome (21612).

The spelling of 216048 in words is "two hundred sixteen thousand, forty-eight".