224668080 has 480 divisors, whose sum is σ = 970604544. Its totient is φ = 47029248.

The previous prime is 224668079. The next prime is 224668097. The reversal of 224668080 is 80866422.

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 95 ways as a sum of consecutive naturals, for example, 1768977 + ... + 1769103.

Almost surely, 2^224668080 is an apocalyptic number.

224668080 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 224668080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485302272).

224668080 is an abundant number, since it is smaller than the sum of its proper divisors (745936464).

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

224668080 is a wasteful number, since it uses less digits than its factorization.

224668080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 224668080 is about 14988.9319165843. The cubic root of 224668080 is about 607.9209702219.

The spelling of 224668080 in words is "two hundred twenty-four million, six hundred sixty-eight thousand, eighty".