262128 has 40 divisors (see below), whose sum is σ = 698368. Its totient is φ = 84672.

The previous prime is 262127. The next prime is 262133. The reversal of 262128 is 821262.

It is a super-3 number, since 3×262128³ = 54033300527763456, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

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

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (262121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2001 + ... + 2127.

262128 is a Friedman number, since it can be written as 8^6-2*2^(2+1), using all its digits and the basic arithmetic operations.

2²⁶²¹²⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 262128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349184).

262128 is an abundant number, since it is smaller than the sum of its proper divisors (436240).

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

262128 is a wasteful number, since it uses less digits than its factorization.

262128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 262128 is about 511.9843747616. The cubic root of 262128 is about 63.9986978902.

The spelling of 262128 in words is "two hundred sixty-two thousand, one hundred twenty-eight".