240801120 has 192 divisors, whose sum is σ = 963325440. Its totient is φ = 55033344.

The previous prime is 240801109. The next prime is 240801137. The reversal of 240801120 is 21108042.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 240801093 and 240801102.

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, 26259 + ... + 34221.

It is an arithmetic number, because the mean of its divisors is an integer number (5017320).

Almost surely, 2^240801120 is an apocalyptic number.

240801120 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 240801120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481662720).

240801120 is an abundant number, since it is smaller than the sum of its proper divisors (722524320).

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

240801120 is a wasteful number, since it uses less digits than its factorization.

240801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7994 (or 7980 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 240801120 is about 15517.7678807231. The cubic root of 240801120 is about 622.1371960537.

Adding to 240801120 its reverse (21108042), we get a palindrome (261909162).

It can be divided in two parts, 24080 and 1120, that added together give a triangular number (25200 = T₂₂₄).

The spelling of 240801120 in words is "two hundred forty million, eight hundred one thousand, one hundred twenty".