216412560 has 400 divisors, whose sum is σ = 927607296. Its totient is φ = 45536256.

The previous prime is 216412549. The next prime is 216412561. The reversal of 216412560 is 65214612.

It is a super-2 number, since 2×216412560² = 93668792251507200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (216412561) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 589497 + ... + 589863.

Almost surely, 2^216412560 is an apocalyptic number.

216412560 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 216412560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463803648).

216412560 is an abundant number, since it is smaller than the sum of its proper divisors (711194736).

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

216412560 is a wasteful number, since it uses less digits than its factorization.

216412560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 216412560 is about 14710.9673373303. The cubic root of 216412560 is about 600.3817570511.

The spelling of 216412560 in words is "two hundred sixteen million, four hundred twelve thousand, five hundred sixty".