216046800 has 90 divisors (see below), whose sum is σ = 749754902. Its totient is φ = 57611520.

The previous prime is 216046783. The next prime is 216046801. The reversal of 216046800 is 8640612.

It can be written as a sum of positive squares in 3 ways, for example, as 30869136 + 185177664 = 5556^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216046801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26407 + ... + 33606.

Almost surely, 2^216046800 is an apocalyptic number.

216046800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216046800 is an abundant number, since it is smaller than the sum of its proper divisors (533708102).

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

216046800 is a wasteful number, since it uses less digits than its factorization.

216046800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60037 (or 60023 counting only the distinct ones).

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

The square root of 216046800 is about 14698.5305387988. The cubic root of 216046800 is about 600.0433302041.

The spelling of 216046800 in words is "two hundred sixteen million, forty-six thousand, eight hundred".