216624672 has 192 divisors, whose sum is σ = 719953920. Its totient is φ = 62726400.

The previous prime is 216624671. The next prime is 216624691. The reversal of 216624672 is 276426612.

216624672 is a `hidden beast` number, since 21 + 6 + 624 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (216624671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 218097 + ... + 219087.

It is an arithmetic number, because the mean of its divisors is an integer number (3749760).

Almost surely, 2^216624672 is an apocalyptic number.

216624672 is a gapful number since it is divisible by the number (22) 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 216624672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359976960).

216624672 is an abundant number, since it is smaller than the sum of its proper divisors (503329248).

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

216624672 is a wasteful number, since it uses less digits than its factorization.

216624672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1030 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 216624672 is about 14718.1748868533. The cubic root of 216624672 is about 600.5778433165.

The spelling of 216624672 in words is "two hundred sixteen million, six hundred twenty-four thousand, six hundred seventy-two".