216403560 has 96 divisors (see below), whose sum is σ = 726036480. Its totient is φ = 55843200.

The previous prime is 216403553. The next prime is 216403567. The reversal of 216403560 is 65304612.

It is an interprime number because it is at equal distance from previous prime (216403553) and next prime (216403567).

It is not an unprimeable number, because it can be changed into a prime (216403567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1465 + ... + 20855.

It is an arithmetic number, because the mean of its divisors is an integer number (7562880).

Almost surely, 2^216403560 is an apocalyptic number.

216403560 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 216403560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363018240).

216403560 is an abundant number, since it is smaller than the sum of its proper divisors (509632920).

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

216403560 is a wasteful number, since it uses less digits than its factorization.

216403560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19439 (or 19432 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 216403560 is about 14710.6614399217. The cubic root of 216403560 is about 600.3734341966.

It can be divided in two parts, 21640 and 3560, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 216403560 in words is "two hundred sixteen million, four hundred three thousand, five hundred sixty".