263872 has 56 divisors (see below), whose sum is σ = 650240. Its totient is φ = 103680.

The previous prime is 263869. The next prime is 263881. The reversal of 263872 is 278362.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 2¹⁷ + 6⁴ + 8 + 3⁴ + 7³ + 2¹⁷ .

It is a self number, because there is not a number n which added to its sum of digits gives 263872.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8497 + ... + 8527.

263872 is a Friedman number, since it can be written as 8^6+(7*2-2)^3, using all its digits and the basic arithmetic operations.

2²⁶³⁸⁷² 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 263872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325120).

263872 is an abundant number, since it is smaller than the sum of its proper divisors (386368).

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

263872 is a wasteful number, since it uses less digits than its factorization.

263872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 263872 is about 513.6847282137. The cubic root of 263872 is about 64.1403171361.

The spelling of 263872 in words is "two hundred sixty-three thousand, eight hundred seventy-two".