216480576 has 112 divisors (see below), whose sum is σ = 631488704. Its totient is φ = 65028096.

The previous prime is 216480571. The next prime is 216480611. The reversal of 216480576 is 675084612.

216480576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×216480576³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216480571) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106320 + ... + 108336.

It is an arithmetic number, because the mean of its divisors is an integer number (5638292).

Almost surely, 2^216480576 is an apocalyptic number.

216480576 is a gapful number since it is divisible by the number (26) 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 216480576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315744352).

216480576 is an abundant number, since it is smaller than the sum of its proper divisors (415008128).

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

216480576 is a wasteful number, since it uses less digits than its factorization.

216480576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 216480576 is about 14713.2789003675. The cubic root of 216480576 is about 600.4446481764. Note that the first 3 decimals are identical.

The spelling of 216480576 in words is "two hundred sixteen million, four hundred eighty thousand, five hundred seventy-six".