216669840 has 160 divisors (see below), whose sum is σ = 693705600. Its totient is φ = 55922688.

The previous prime is 216669829. The next prime is 216669853. The reversal of 216669840 is 48966612.

It is a junction number, because it is equal to n+sod(n) for n = 216669792 and 216669801.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1454086 + ... + 1454234.

It is an arithmetic number, because the mean of its divisors is an integer number (4335660).

Almost surely, 2^216669840 is an apocalyptic number.

216669840 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 216669840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346852800).

216669840 is an abundant number, since it is smaller than the sum of its proper divisors (477035760).

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

216669840 is a wasteful number, since it uses less digits than its factorization.

216669840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 216669840 is about 14719.7092362587. The cubic root of 216669840 is about 600.6195821985.

The spelling of 216669840 in words is "two hundred sixteen million, six hundred sixty-nine thousand, eight hundred forty".