240226560 has 360 divisors, whose sum is σ = 985338816. Its totient is φ = 54743040.

The previous prime is 240226543. The next prime is 240226573. The reversal of 240226560 is 65622042.

240226560 is a `hidden beast` number, since 2 + 4 + 0 + 2 + 2 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 725595 + ... + 725925.

Almost surely, 2^240226560 is an apocalyptic number.

240226560 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 240226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492669408).

240226560 is an abundant number, since it is smaller than the sum of its proper divisors (745112256).

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

240226560 is an equidigital number, since it uses as much as digits as its factorization.

240226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 240226560 is about 15499.2438525239. The cubic root of 240226560 is about 621.6419881895.

The spelling of 240226560 in words is "two hundred forty million, two hundred twenty-six thousand, five hundred sixty".