263241120 has 96 divisors (see below), whose sum is σ = 857848320. Its totient is φ = 67773440.

The previous prime is 263241103. The next prime is 263241127. The reversal of 263241120 is 21142362.

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

It is not an unprimeable number, because it can be changed into a prime (263241127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4465 + ... + 23375.

It is an arithmetic number, because the mean of its divisors is an integer number (8935920).

Almost surely, 2^263241120 is an apocalyptic number.

263241120 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 263241120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428924160).

263241120 is an abundant number, since it is smaller than the sum of its proper divisors (594607200).

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

263241120 is a wasteful number, since it uses less digits than its factorization.

263241120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18958 (or 18950 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 263241120 is about 16224.7070851834. The cubic root of 263241120 is about 640.8915958661.

Adding to 263241120 its reverse (21142362), we get a palindrome (284383482).

The spelling of 263241120 in words is "two hundred sixty-three million, two hundred forty-one thousand, one hundred twenty".