262826240 has 144 divisors (see below), whose sum is σ = 675501120. Its totient is φ = 97689600.

The previous prime is 262826231. The next prime is 262826243. The reversal of 262826240 is 42628262.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 262826197 and 262826206.

It is not an unprimeable number, because it can be changed into a prime (262826243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2456267 + ... + 2456373.

It is an arithmetic number, because the mean of its divisors is an integer number (4690980).

Almost surely, 2^262826240 is an apocalyptic number.

262826240 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 262826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (337750560).

262826240 is an abundant number, since it is smaller than the sum of its proper divisors (412674880).

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

262826240 is a wasteful number, since it uses less digits than its factorization.

262826240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 262826240 is about 16211.9166047695. The cubic root of 262826240 is about 640.5547273781.

The spelling of 262826240 in words is "two hundred sixty-two million, eight hundred twenty-six thousand, two hundred forty".