223986960 has 120 divisors (see below), whose sum is σ = 768343680. Its totient is φ = 58450176.

The previous prime is 223986947. The next prime is 223986989. The reversal of 223986960 is 69689322.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30531 + ... + 37149.

It is an arithmetic number, because the mean of its divisors is an integer number (6402864).

Almost surely, 2^223986960 is an apocalyptic number.

223986960 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 223986960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384171840).

223986960 is an abundant number, since it is smaller than the sum of its proper divisors (544356720).

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

223986960 is a wasteful number, since it uses less digits than its factorization.

223986960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6685 (or 6676 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 223986960 is about 14966.1939049312. The cubic root of 223986960 is about 607.3060092892.

The spelling of 223986960 in words is "two hundred twenty-three million, nine hundred eighty-six thousand, nine hundred sixty".