216503040 has 144 divisors (see below), whose sum is σ = 744817248. Its totient is φ = 53280768.

The previous prime is 216503033. The next prime is 216503047. The reversal of 216503040 is 40305612.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (216503033) and next prime (216503047).

It is a junction number, because it is equal to n+sod(n) for n = 216502998 and 216503016.

It is not an unprimeable number, because it can be changed into a prime (216503047) 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, 47752 + ... + 52088.

It is an arithmetic number, because the mean of its divisors is an integer number (5172342).

Almost surely, 2^216503040 is an apocalyptic number.

216503040 is a gapful number since it is divisible by the number (20) 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 216503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372408624).

216503040 is an abundant number, since it is smaller than the sum of its proper divisors (528314208).

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

216503040 is a wasteful number, since it uses less digits than its factorization.

216503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4374 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 216503040 is about 14714.0422726048. The cubic root of 216503040 is about 600.4654166633.

Adding to 216503040 its reverse (40305612), we get a palindrome (256808652).

The spelling of 216503040 in words is "two hundred sixteen million, five hundred three thousand, forty".