140224560 has 320 divisors, whose sum is σ = 548536320. Its totient is φ = 28892160.

The previous prime is 140224559. The next prime is 140224571. The reversal of 140224560 is 65422041.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140224560.

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 63 ways as a sum of consecutive naturals, for example, 734065 + ... + 734255.

It is an arithmetic number, because the mean of its divisors is an integer number (1714176).

Almost surely, 2^140224560 is an apocalyptic number.

140224560 is a gapful number since it is divisible by the number (10) 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 140224560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274268160).

140224560 is an abundant number, since it is smaller than the sum of its proper divisors (408311760).

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

140224560 is a wasteful number, since it uses less digits than its factorization.

140224560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 140224560 is about 11841.6451559739. The cubic root of 140224560 is about 519.5268872315.

The spelling of 140224560 in words is "one hundred forty million, two hundred twenty-four thousand, five hundred sixty".