216624144 has 80 divisors (see below), whose sum is σ = 622085184. Its totient is φ = 64396800.

The previous prime is 216624127. The next prime is 216624151. The reversal of 216624144 is 441426612.

It is a happy number.

It is a super-3 number, since 3×216624144³ (a number of 26 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24114 + ... + 31854.

Almost surely, 2^216624144 is an apocalyptic number.

216624144 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 216624144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311042592).

216624144 is an abundant number, since it is smaller than the sum of its proper divisors (405461040).

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

216624144 is a wasteful number, since it uses less digits than its factorization.

216624144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7816 (or 7810 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 216624144 is about 14718.1569498358. The cubic root of 216624144 is about 600.5773553675.

The spelling of 216624144 in words is "two hundred sixteen million, six hundred twenty-four thousand, one hundred forty-four".