263712 has 48 divisors (see below), whose sum is σ = 719712. Its totient is φ = 84480.

The previous prime is 263677. The next prime is 263723. The reversal of 263712 is 217362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

263712 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3903 + ... + 3969.

It is an arithmetic number, because the mean of its divisors is an integer number (14994).

2²⁶³⁷¹² 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 263712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359856).

263712 is an abundant number, since it is smaller than the sum of its proper divisors (456000).

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

263712 is a wasteful number, since it uses less digits than its factorization.

263712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 113 counting only the distinct ones).

The product of its digits is 504, while the sum is 21.

The square root of 263712 is about 513.5289670505. The cubic root of 263712 is about 64.1273505896.

The spelling of 263712 in words is "two hundred sixty-three thousand, seven hundred twelve".