262868240 has 40 divisors (see below), whose sum is σ = 615090840. Its totient is φ = 104472576.

The previous prime is 262868201. The next prime is 262868293. The reversal of 262868240 is 42868262.

It can be written as a sum of positive squares in 4 ways, for example, as 14868736 + 247999504 = 3856^2 + 15748^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 262868194 and 262868203.

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 7 ways as a sum of consecutive naturals, for example, 2096 + ... + 23024.

It is an arithmetic number, because the mean of its divisors is an integer number (15377271).

Almost surely, 2^262868240 is an apocalyptic number.

262868240 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 262868240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307545420).

262868240 is an abundant number, since it is smaller than the sum of its proper divisors (352222600).

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

262868240 is a wasteful number, since it uses less digits than its factorization.

262868240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21099 (or 21093 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 38.

The square root of 262868240 is about 16213.2118964750. The cubic root of 262868240 is about 640.5888460739.

The spelling of 262868240 in words is "two hundred sixty-two million, eight hundred sixty-eight thousand, two hundred forty".