263887680 has 224 divisors, whose sum is σ = 969117696. Its totient is φ = 59590656.

The previous prime is 263887669. The next prime is 263887697. The reversal of 263887680 is 86788362.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718857 + ... + 719223.

Almost surely, 2^263887680 is an apocalyptic number.

263887680 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 263887680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484558848).

263887680 is an abundant number, since it is smaller than the sum of its proper divisors (705230016).

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

263887680 is a wasteful number, since it uses less digits than its factorization.

263887680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 263887680 is about 16244.6200324908. The cubic root of 263887680 is about 641.4158757565.

The spelling of 263887680 in words is "two hundred sixty-three million, eight hundred eighty-seven thousand, six hundred eighty".