263520 has 96 divisors (see below), whose sum is σ = 937440. Its totient is φ = 69120.

The previous prime is 263519. The next prime is 263521. The reversal of 263520 is 25362.

It is an interprime number because it is at equal distance from previous prime (263519) and next prime (263521).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a d-powerful number, because it can be written as 2⁴ + 6 + 5⁴ + 3⁶ + 2¹⁸ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 263493 and 263502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 4290 + ... + 4350.

It is an arithmetic number, because the mean of its divisors is an integer number (9765).

2²⁶³⁵²⁰ is an apocalyptic number.

263520 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 263520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468720).

263520 is an abundant number, since it is smaller than the sum of its proper divisors (673920).

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

263520 is a wasteful number, since it uses less digits than its factorization.

263520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 263520 is about 513.3419912690. The cubic root of 263520 is about 64.1117838089. Note that the first 3 decimals are identical.

Adding to 263520 its reverse (25362), we get a palindrome (288882).

The spelling of 263520 in words is "two hundred sixty-three thousand, five hundred twenty".