263324832 has 96 divisors (see below), whose sum is σ = 747677952. Its totient is φ = 80830464.

The previous prime is 263324827. The next prime is 263324839. The reversal of 263324832 is 238423362.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 263324793 and 263324802.

It is not an unprimeable number, because it can be changed into a prime (263324839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74988 + ... + 78420.

It is an arithmetic number, because the mean of its divisors is an integer number (7788312).

Almost surely, 2^263324832 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 263324832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373838976).

263324832 is an abundant number, since it is smaller than the sum of its proper divisors (484353120).

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

263324832 is a wasteful number, since it uses less digits than its factorization.

263324832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 3502 counting only the distinct ones).

The product of its digits is 41472, while the sum is 33.

The square root of 263324832 is about 16227.2866493447. The cubic root of 263324832 is about 640.9595242496.

The spelling of 263324832 in words is "two hundred sixty-three million, three hundred twenty-four thousand, eight hundred thirty-two".