263212320 has 432 divisors, whose sum is σ = 1050755328. Its totient is φ = 55157760.

The previous prime is 263212303. The next prime is 263212337. The reversal of 263212320 is 23212362.

It is an interprime number because it is at equal distance from previous prime (263212303) and next prime (263212337).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8490705 + ... + 8490735.

It is an arithmetic number, because the mean of its divisors is an integer number (2432304).

Almost surely, 2^263212320 is an apocalyptic number.

263212320 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 263212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525377664).

263212320 is an abundant number, since it is smaller than the sum of its proper divisors (787543008).

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

263212320 is a wasteful number, since it uses less digits than its factorization.

263212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 263212320 is about 16223.8195256234. The cubic root of 263212320 is about 640.8682226800.

Adding to 263212320 its reverse (23212362), we get a palindrome (286424682).

The spelling of 263212320 in words is "two hundred sixty-three million, two hundred twelve thousand, three hundred twenty".