263602560 has 256 divisors, whose sum is σ = 925344000. Its totient is φ = 63430656.

The previous prime is 263602553. The next prime is 263602567. The reversal of 263602560 is 65206362.

It is an interprime number because it is at equal distance from previous prime (263602553) and next prime (263602567).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263602567) 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, 1472551 + ... + 1472729.

It is an arithmetic number, because the mean of its divisors is an integer number (3614625).

Almost surely, 2^263602560 is an apocalyptic number.

263602560 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 263602560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462672000).

263602560 is an abundant number, since it is smaller than the sum of its proper divisors (661741440).

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

263602560 is a wasteful number, since it uses less digits than its factorization.

263602560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 263602560 is about 16235.8418321934. The cubic root of 263602560 is about 641.1847845096.

It can be divided in two parts, 26360 and 2560, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 263602560 in words is "two hundred sixty-three million, six hundred two thousand, five hundred sixty".