240260820 has 96 divisors (see below), whose sum is σ = 696681216. Its totient is φ = 61824000.

The previous prime is 240260809. The next prime is 240260821. The reversal of 240260820 is 28062042.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240260821) 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 31 ways as a sum of consecutive naturals, for example, 247977 + ... + 248943.

It is an arithmetic number, because the mean of its divisors is an integer number (7257096).

Almost surely, 2^240260820 is an apocalyptic number.

240260820 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 240260820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348340608).

240260820 is an abundant number, since it is smaller than the sum of its proper divisors (456420396).

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

240260820 is a wasteful number, since it uses less digits than its factorization.

240260820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1119 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 240260820 is about 15500.3490283284. The cubic root of 240260820 is about 621.6715386857.

The spelling of 240260820 in words is "two hundred forty million, two hundred sixty thousand, eight hundred twenty".