263680000 has 130 divisors (see below), whose sum is σ = 665305784. Its totient is φ = 104448000.

The previous prime is 263679973. The next prime is 263680009. The reversal of 263680000 is 86362.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263680009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2559949 + ... + 2560051.

Almost surely, 2^263680000 is an apocalyptic number.

263680000 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 263680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332652892).

263680000 is an abundant number, since it is smaller than the sum of its proper divisors (401625784).

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

263680000 is an frugal number, since it uses more digits than its factorization.

263680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 263680000 is about 16238.2265041476. The cubic root of 263680000 is about 641.2475665101.

The spelling of 263680000 in words is "two hundred sixty-three million, six hundred eighty thousand".