220461696 has 256 divisors, whose sum is σ = 801964800. Its totient is φ = 58060800.

The previous prime is 220461673. The next prime is 220461721. The reversal of 220461696 is 696164022.

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

It is a self number, because there is not a number n which added to its sum of digits gives 220461696.

It is a congruent number.

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, 314146 + ... + 314846.

It is an arithmetic number, because the mean of its divisors is an integer number (3132675).

Almost surely, 2^220461696 is an apocalyptic number.

220461696 is a gapful number since it is divisible by the number (26) 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 220461696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400982400).

220461696 is an abundant number, since it is smaller than the sum of its proper divisors (581503104).

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

220461696 is a wasteful number, since it uses less digits than its factorization.

220461696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 220461696 is about 14847.9525861312. The cubic root of 220461696 is about 604.1030773016.

The spelling of 220461696 in words is "two hundred twenty million, four hundred sixty-one thousand, six hundred ninety-six".