263120160 has 96 divisors (see below), whose sum is σ = 831503232. Its totient is φ = 69939200.

The previous prime is 263120159. The next prime is 263120167. The reversal of 263120160 is 61021362.

It is a happy number.

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 (263120167) 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, 191797 + ... + 193163.

It is an arithmetic number, because the mean of its divisors is an integer number (8661492).

Almost surely, 2^263120160 is an apocalyptic number.

263120160 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 263120160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415751616).

263120160 is an abundant number, since it is smaller than the sum of its proper divisors (568383072).

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

263120160 is a wasteful number, since it uses less digits than its factorization.

263120160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1786 (or 1778 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 263120160 is about 16220.9790086789. The cubic root of 263120160 is about 640.7934170249.

It can be divided in two parts, 2631 and 20160, that added together give a triangular number (22791 = T₂₁₃).

The spelling of 263120160 in words is "two hundred sixty-three million, one hundred twenty thousand, one hundred sixty".