223609680 has 320 divisors, whose sum is σ = 919941120. Its totient is φ = 48812544.

The previous prime is 223609679. The next prime is 223609739. The reversal of 223609680 is 86906322.

223609680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 347439 + ... + 348081.

It is an arithmetic number, because the mean of its divisors is an integer number (2874816).

Almost surely, 2^223609680 is an apocalyptic number.

223609680 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 223609680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459970560).

223609680 is an abundant number, since it is smaller than the sum of its proper divisors (696331440).

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

223609680 is a wasteful number, since it uses less digits than its factorization.

223609680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695 (or 683 counting only the distinct ones).

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

The square root of 223609680 is about 14953.5841857396. The cubic root of 223609680 is about 606.9648388685.

The spelling of 223609680 in words is "two hundred twenty-three million, six hundred nine thousand, six hundred eighty".