260924040 has 192 divisors, whose sum is σ = 922521600. Its totient is φ = 63576576.

The previous prime is 260924033. The next prime is 260924057. The reversal of 260924040 is 40429062.

260924040 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 = 260923995 and 260924013.

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 47 ways as a sum of consecutive naturals, for example, 594141 + ... + 594579.

It is an arithmetic number, because the mean of its divisors is an integer number (4804800).

Almost surely, 2^260924040 is an apocalyptic number.

260924040 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 260924040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461260800).

260924040 is an abundant number, since it is smaller than the sum of its proper divisors (661597560).

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

260924040 is a wasteful number, since it uses less digits than its factorization.

260924040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 260924040 is about 16153.1433473488. The cubic root of 260924040 is about 639.0056499166.

The spelling of 260924040 in words is "two hundred sixty million, nine hundred twenty-four thousand, forty".