262080 has 168 divisors, whose sum is σ = 1109472. Its totient is φ = 55296.

The previous prime is 262079. The next prime is 262103. The reversal of 262080 is 80262.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20154 + ... + 20166.

It is an arithmetic number, because the mean of its divisors is an integer number (6604).

2²⁶²⁰⁸⁰ is an apocalyptic number.

262080 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 262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554736).

262080 is an abundant number, since it is smaller than the sum of its proper divisors (847392).

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

262080 is a wasteful number, since it uses less digits than its factorization.

262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 262080 is about 511.9374961848. The cubic root of 262080 is about 63.9947912428.

The spelling of 262080 in words is "two hundred sixty-two thousand, eighty".