223607664 has 120 divisors (see below), whose sum is σ = 757317600. Its totient is φ = 60125184.

The previous prime is 223607653. The next prime is 223607693. The reversal of 223607664 is 466706322.

It is a happy number.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10612 + ... + 23660.

It is an arithmetic number, because the mean of its divisors is an integer number (6310980).

Almost surely, 2^223607664 is an apocalyptic number.

223607664 is a gapful number since it is divisible by the number (24) 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 223607664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378658800).

223607664 is an abundant number, since it is smaller than the sum of its proper divisors (533709936).

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

223607664 is a wasteful number, since it uses less digits than its factorization.

223607664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13087 (or 13078 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 223607664 is about 14953.5167769993. The cubic root of 223607664 is about 606.9630147900.

The spelling of 223607664 in words is "two hundred twenty-three million, six hundred seven thousand, six hundred sixty-four".