216675840 has 160 divisors (see below), whose sum is σ = 702678240. Its totient is φ = 56950784.

The previous prime is 216675827. The next prime is 216675859. The reversal of 216675840 is 48576612.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 683362 + ... + 683678.

It is an arithmetic number, because the mean of its divisors is an integer number (4391739).

Almost surely, 2^216675840 is an apocalyptic number.

216675840 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 216675840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351339120).

216675840 is an abundant number, since it is smaller than the sum of its proper divisors (486002400).

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

216675840 is an equidigital number, since it uses as much as digits as its factorization.

216675840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 216675840 is about 14719.9130432214. The cubic root of 216675840 is about 600.6251262469.

The spelling of 216675840 in words is "two hundred sixteen million, six hundred seventy-five thousand, eight hundred forty".