263816140 has 144 divisors (see below), whose sum is σ = 694713600. Its totient is φ = 82183680.

The previous prime is 263816117. The next prime is 263816143. The reversal of 263816140 is 41618362.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (263816143) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4471431 + ... + 4471489.

It is an arithmetic number, because the mean of its divisors is an integer number (4824400).

Almost surely, 2^263816140 is an apocalyptic number.

263816140 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 263816140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347356800).

263816140 is an abundant number, since it is smaller than the sum of its proper divisors (430897460).

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

263816140 is a wasteful number, since it uses less digits than its factorization.

263816140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 263816140 is about 16242.4179234497. The cubic root of 263816140 is about 641.3579078627.

The spelling of 263816140 in words is "two hundred sixty-three million, eight hundred sixteen thousand, one hundred forty".