224736960 has 224 divisors, whose sum is σ = 832177152. Its totient is φ = 50319360.

The previous prime is 224736943. The next prime is 224736971. The reversal of 224736960 is 69637422.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355845 + ... + 356475.

Almost surely, 2^224736960 is an apocalyptic number.

224736960 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 224736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416088576).

224736960 is an abundant number, since it is smaller than the sum of its proper divisors (607440192).

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

224736960 is a wasteful number, since it uses less digits than its factorization.

224736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 224736960 is about 14991.2294359068. The cubic root of 224736960 is about 607.9830904808.

The spelling of 224736960 in words is "two hundred twenty-four million, seven hundred thirty-six thousand, nine hundred sixty".