240001920 has 512 divisors, whose sum is σ = 969408000. Its totient is φ = 55738368.

The previous prime is 240001913. The next prime is 240001997. The reversal of 240001920 is 29100042.

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 = 240001893 and 240001902.

It is a congruent number.

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, 5581419 + ... + 5581461.

It is an arithmetic number, because the mean of its divisors is an integer number (1893375).

Almost surely, 2^240001920 is an apocalyptic number.

240001920 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 240001920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484704000).

240001920 is an abundant number, since it is smaller than the sum of its proper divisors (729406080).

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

240001920 is a wasteful number, since it uses less digits than its factorization.

240001920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 240001920 is about 15491.9953524393. The cubic root of 240001920 is about 621.4481583770.

Adding to 240001920 its product of nonzero digits (144), we get a square (240002064 = 15492²).

Adding to 240001920 its reverse (29100042), we get a palindrome (269101962).

The spelling of 240001920 in words is "two hundred forty million, one thousand, nine hundred twenty".