216424560 has 160 divisors (see below), whose sum is σ = 742595328. Its totient is φ = 51701760.

The previous prime is 216424471. The next prime is 216424561. The reversal of 216424560 is 65424612.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216424561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192159 + ... + 193281.

Almost surely, 2^216424560 is an apocalyptic number.

216424560 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 216424560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371297664).

216424560 is an abundant number, since it is smaller than the sum of its proper divisors (526170768).

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

216424560 is a wasteful number, since it uses less digits than its factorization.

216424560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 216424560 is about 14711.3751906475. The cubic root of 216424560 is about 600.3928538314.

The spelling of 216424560 in words is "two hundred sixteen million, four hundred twenty-four thousand, five hundred sixty".