216901800 has 144 divisors (see below), whose sum is σ = 755576640. Its totient is φ = 57827520.

The previous prime is 216901781. The next prime is 216901813. The reversal of 216901800 is 8109612.

216901800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46369 + ... + 50831.

It is an arithmetic number, because the mean of its divisors is an integer number (5247060).

Almost surely, 2^216901800 is an apocalyptic number.

216901800 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 216901800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377788320).

216901800 is an abundant number, since it is smaller than the sum of its proper divisors (538674840).

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

216901800 is a wasteful number, since it uses less digits than its factorization.

216901800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4494 (or 4473 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 216901800 is about 14727.5863602968. The cubic root of 216901800 is about 600.8338406461.

The spelling of 216901800 in words is "two hundred sixteen million, nine hundred one thousand, eight hundred".