262116 has 30 divisors (see below), whose sum is σ = 686070. Its totient is φ = 87264.

The previous prime is 262111. The next prime is 262121. The reversal of 262116 is 611262.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (262111) and next prime (262121).

It can be written as a sum of positive squares in only one way, i.e., 254016 + 8100 = 504^2 + 90^2 .

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

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

It is a nialpdrome in base 4 and base 8.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (262111) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 81 + ... + 728.

It is an arithmetic number, because the mean of its divisors is an integer number (22869).

2²⁶²¹¹⁶ 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 262116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343035).

262116 is an abundant number, since it is smaller than the sum of its proper divisors (423954).

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

262116 is a wasteful number, since it uses less digits than its factorization.

262116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 814 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 262116 is about 511.9726555198. The cubic root of 262116 is about 63.9977212730.

Adding to 262116 its reverse (611262), we get a palindrome (873378).

It can be divided in two parts, 262 and 116, that added together give a triangular number (378 = T₂₇).

The spelling of 262116 in words is "two hundred sixty-two thousand, one hundred sixteen".