263323632 has 160 divisors (see below), whose sum is σ = 807448320. Its totient is φ = 73332480.

The previous prime is 263323631. The next prime is 263323633. The reversal of 263323632 is 236323362.

It is an interprime number because it is at equal distance from previous prime (263323631) and next prime (263323633).

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

Its product of digits (23328) is a multiple of the sum of its prime factors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 263323632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263323631) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1159903 + ... + 1160129.

It is an arithmetic number, because the mean of its divisors is an integer number (5046552).

Almost surely, 2^263323632 is an apocalyptic number.

263323632 is a gapful number since it is divisible by the number (22) 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 263323632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403724160).

263323632 is an abundant number, since it is smaller than the sum of its proper divisors (544124688).

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

263323632 is a wasteful number, since it uses less digits than its factorization.

263323632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 256 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

The square root of 263323632 is about 16227.2496745444. The cubic root of 263323632 is about 640.9585506073.

Adding to 263323632 its reverse (236323362), we get a palindrome (499646994).

The spelling of 263323632 in words is "two hundred sixty-three million, three hundred twenty-three thousand, six hundred thirty-two".