240820840 has 64 divisors (see below), whose sum is σ = 587583360. Its totient is φ = 88300800.

The previous prime is 240820823. The next prime is 240820849. The reversal of 240820840 is 48028042.

240820840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 240820799 and 240820808.

It is not an unprimeable number, because it can be changed into a prime (240820849) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 76987 + ... + 80053.

It is an arithmetic number, because the mean of its divisors is an integer number (9180990).

Almost surely, 2^240820840 is an apocalyptic number.

240820840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

240820840 is the 9815-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 240820840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293791680).

240820840 is an abundant number, since it is smaller than the sum of its proper divisors (346762520).

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

240820840 is a wasteful number, since it uses less digits than its factorization.

240820840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3238 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 28.

The square root of 240820840 is about 15518.4032683778. The cubic root of 240820840 is about 622.1541785476.

Adding to 240820840 its reverse (48028042), we get a palindrome (288848882).

The spelling of 240820840 in words is "two hundred forty million, eight hundred twenty thousand, eight hundred forty".