224598560 has 96 divisors (see below), whose sum is σ = 570229632. Its totient is φ = 83292160.

The previous prime is 224598557. The next prime is 224598587. The reversal of 224598560 is 65895422.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192539 + ... + 193701.

It is an arithmetic number, because the mean of its divisors is an integer number (5939892).

Almost surely, 2^224598560 is an apocalyptic number.

224598560 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 224598560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285114816).

224598560 is an abundant number, since it is smaller than the sum of its proper divisors (345631072).

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

224598560 is a wasteful number, since it uses less digits than its factorization.

224598560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The square root of 224598560 is about 14986.6126926667. The cubic root of 224598560 is about 607.8582598957.

The spelling of 224598560 in words is "two hundred twenty-four million, five hundred ninety-eight thousand, five hundred sixty".