263160240 has 240 divisors, whose sum is σ = 969295104. Its totient is φ = 57853440.

The previous prime is 263160229. The next prime is 263160269. The reversal of 263160240 is 42061362.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 263160240.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1614399 + ... + 1614561.

Almost surely, 2^263160240 is an apocalyptic number.

263160240 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 263160240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484647552).

263160240 is an abundant number, since it is smaller than the sum of its proper divisors (706134864).

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

263160240 is a wasteful number, since it uses less digits than its factorization.

263160240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 263160240 is about 16222.2143987805. The cubic root of 263160240 is about 640.8259518387.

The spelling of 263160240 in words is "two hundred sixty-three million, one hundred sixty thousand, two hundred forty".