224087040 has 176 divisors, whose sum is σ = 796856160. Its totient is φ = 59719680.

The previous prime is 224086981. The next prime is 224087063. The reversal of 224087040 is 40780422.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 224086995 and 224087013.

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, 137430 + ... + 139050.

Almost surely, 2^224087040 is an apocalyptic number.

224087040 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 224087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398428080).

224087040 is an abundant number, since it is smaller than the sum of its proper divisors (572769120).

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

224087040 is a wasteful number, since it uses less digits than its factorization.

224087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 224087040 is about 14969.5370669904. The cubic root of 224087040 is about 607.3964463030.

The spelling of 224087040 in words is "two hundred twenty-four million, eighty-seven thousand, forty".