220900608 has 216 divisors, whose sum is σ = 683006688. Its totient is φ = 71165952.

The previous prime is 220900583. The next prime is 220900613. The reversal of 220900608 is 806009022.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×220900608² = 97594157229539328, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 3296991 + ... + 3297057.

It is an arithmetic number, because the mean of its divisors is an integer number (3162068).

Almost surely, 2^220900608 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 220900608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341503344).

220900608 is an abundant number, since it is smaller than the sum of its proper divisors (462106080).

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

220900608 is an frugal number, since it uses more digits than its factorization.

220900608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 220900608 is about 14862.7254566583. The cubic root of 220900608 is about 604.5037097470.

The spelling of 220900608 in words is "two hundred twenty million, nine hundred thousand, six hundred eight".