216266544 has 160 divisors (see below), whose sum is σ = 677109440. Its totient is φ = 65691648.

The previous prime is 216266527. The next prime is 216266549. The reversal of 216266544 is 445662612.

216266544 is a `hidden beast` number, since 21 + 626 + 6 + 5 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (69120) is a multiple of the sum of its prime divisors (512).

It is a junction number, because it is equal to n+sod(n) for n = 216266499 and 216266508.

It is not an unprimeable number, because it can be changed into a prime (216266549) 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, 544554 + ... + 544950.

It is an arithmetic number, because the mean of its divisors is an integer number (4231934).

Almost surely, 2^216266544 is an apocalyptic number.

216266544 is a gapful number since it is divisible by the number (24) 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 216266544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338554720).

216266544 is an abundant number, since it is smaller than the sum of its proper divisors (460842896).

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

216266544 is a wasteful number, since it uses less digits than its factorization.

216266544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 512 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 216266544 is about 14706.0036719702. The cubic root of 216266544 is about 600.2466985525.

The spelling of 216266544 in words is "two hundred sixteen million, two hundred sixty-six thousand, five hundred forty-four".