220996608 has 176 divisors, whose sum is σ = 691722240. Its totient is φ = 61415424.

The previous prime is 220996603. The next prime is 220996609. The reversal of 220996608 is 806699022.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 220996608.

It is not an unprimeable number, because it can be changed into a prime (220996603) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 924553 + ... + 924791.

It is an arithmetic number, because the mean of its divisors is an integer number (3930240).

Almost surely, 2^220996608 is an apocalyptic number.

220996608 is a gapful number since it is divisible by the number (28) 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 220996608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345861120).

220996608 is an abundant number, since it is smaller than the sum of its proper divisors (470725632).

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

220996608 is a wasteful number, since it uses less digits than its factorization.

220996608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 220996608 is about 14865.9546615749. The cubic root of 220996608 is about 604.5912663968.

The spelling of 220996608 in words is "two hundred twenty million, nine hundred ninety-six thousand, six hundred eight".