263980080 has 640 divisors, whose sum is σ = 1199923200. Its totient is φ = 51757056.

The previous prime is 263980061. The next prime is 263980081. The reversal of 263980080 is 80089362.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (263980081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3341481 + ... + 3341559.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^263980080 is an apocalyptic number.

263980080 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 263980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599961600).

263980080 is an abundant number, since it is smaller than the sum of its proper divisors (935943120).

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

263980080 is a wasteful number, since it uses less digits than its factorization.

263980080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 263980080 is about 16247.4638020831. The cubic root of 263980080 is about 641.4907307237.

The spelling of 263980080 in words is "two hundred sixty-three million, nine hundred eighty thousand, eighty".