216648000 has 448 divisors, whose sum is σ = 855878400. Its totient is φ = 53452800.

The previous prime is 216647993. The next prime is 216648023. The reversal of 216648000 is 846612.

216648000 is a `hidden beast` number, since 2 + 16 + 648 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3671971 + ... + 3672029.

Almost surely, 2^216648000 is an apocalyptic number.

216648000 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 216648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427939200).

216648000 is an abundant number, since it is smaller than the sum of its proper divisors (639230400).

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

216648000 is a wasteful number, since it uses less digits than its factorization.

216648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 216648000 is about 14718.9673550830. The cubic root of 216648000 is about 600.5994009980.

The spelling of 216648000 in words is "two hundred sixteen million, six hundred forty-eight thousand".