220809816 has 96 divisors (see below), whose sum is σ = 620951760. Its totient is φ = 70834176.

The previous prime is 220809767. The next prime is 220809817. The reversal of 220809816 is 618908022.

220809816 = T₂₄₂₃ + T₂₄₂₄ + ... + T₂₄₉₅.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220809817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 225520 + ... + 226496.

Almost surely, 2^220809816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220809816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310475880).

220809816 is an abundant number, since it is smaller than the sum of its proper divisors (400141944).

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

220809816 is a wasteful number, since it uses less digits than its factorization.

220809816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1105 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 220809816 is about 14859.6707904314. The cubic root of 220809816 is about 604.4208797022.

The spelling of 220809816 in words is "two hundred twenty million, eight hundred nine thousand, eight hundred sixteen".