262140 has 48 divisors (see below), whose sum is σ = 780192. Its totient is φ = 65536.

The previous prime is 262139. The next prime is 262147. The reversal of 262140 is 41262.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 262140.

It is not an unprimeable number, because it can be changed into a prime (262147) by changing a digit.

In principle, a polygon with 262140 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 892 + ... + 1148.

It is an arithmetic number, because the mean of its divisors is an integer number (16254).

262140 is a Friedman number, since it can be written as (2^(2+1+0))^6-4, using all its digits and the basic arithmetic operations.

2²⁶²¹⁴⁰ is an apocalyptic number.

262140 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 262140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390096).

262140 is an abundant number, since it is smaller than the sum of its proper divisors (518052).

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

262140 is a wasteful number, since it uses less digits than its factorization.

262140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 262140 is about 511.9960937351. The cubic root of 262140 is about 63.9996744775. Note that the first 3 decimals are identical.

The spelling of 262140 in words is "two hundred sixty-two thousand, one hundred forty".