216769800 has 96 divisors (see below), whose sum is σ = 723703680. Its totient is φ = 53356800.

The previous prime is 216769769. The next prime is 216769807. The reversal of 216769800 is 8967612.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (216769807) 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 23 ways as a sum of consecutive naturals, for example, 6096 + ... + 21695.

It is an arithmetic number, because the mean of its divisors is an integer number (7538580).

Almost surely, 2^216769800 is an apocalyptic number.

216769800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216769800 is an abundant number, since it is smaller than the sum of its proper divisors (506933880).

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

216769800 is a wasteful number, since it uses less digits than its factorization.

216769800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27823 (or 27814 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 216769800 is about 14723.1042922340. The cubic root of 216769800 is about 600.7119326967.

The spelling of 216769800 in words is "two hundred sixteen million, seven hundred sixty-nine thousand, eight hundred".