220067820 has 144 divisors (see below), whose sum is σ = 796531680. Its totient is φ = 50295168.

The previous prime is 220067807. The next prime is 220067821. The reversal of 220067820 is 28760022.

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

It is not an unprimeable number, because it can be changed into a prime (220067821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22302 + ... + 30618.

It is an arithmetic number, because the mean of its divisors is an integer number (5531470).

Almost surely, 2^220067820 is an apocalyptic number.

220067820 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 220067820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398265840).

220067820 is an abundant number, since it is smaller than the sum of its proper divisors (576463860).

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

220067820 is a wasteful number, since it uses less digits than its factorization.

220067820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8349 (or 8334 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 220067820 is about 14834.6830097579. The cubic root of 220067820 is about 603.7431001102.

The spelling of 220067820 in words is "two hundred twenty million, sixty-seven thousand, eight hundred twenty".