216061560 has 256 divisors, whose sum is σ = 846720000. Its totient is φ = 48314880.

The previous prime is 216061529. The next prime is 216061567. The reversal of 216061560 is 65160612.

It is a happy number.

216061560 is a `hidden beast` number, since 2 + 1 + 606 + 1 + 56 + 0 = 666.

216061560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216061567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 153741 + ... + 155139.

It is an arithmetic number, because the mean of its divisors is an integer number (3307500).

Almost surely, 2^216061560 is an apocalyptic number.

216061560 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 216061560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360000).

216061560 is an abundant number, since it is smaller than the sum of its proper divisors (630658440).

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

216061560 is a wasteful number, since it uses less digits than its factorization.

216061560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1443 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 216061560 is about 14699.0326212306. The cubic root of 216061560 is about 600.0569945859.

The spelling of 216061560 in words is "two hundred sixteen million, sixty-one thousand, five hundred sixty".