263578720 has 48 divisors (see below), whose sum is σ = 624824928. Its totient is φ = 105072640.

The previous prime is 263578703. The next prime is 263578729. The reversal of 263578720 is 27875362.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263578729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47112 + ... + 52408.

It is an arithmetic number, because the mean of its divisors is an integer number (13017186).

Almost surely, 2^263578720 is an apocalyptic number.

263578720 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 263578720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312412464).

263578720 is an abundant number, since it is smaller than the sum of its proper divisors (361246208).

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

263578720 is a wasteful number, since it uses less digits than its factorization.

263578720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5623 (or 5615 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 263578720 is about 16235.1076374627. The cubic root of 263578720 is about 641.1654545176.

The spelling of 263578720 in words is "two hundred sixty-three million, five hundred seventy-eight thousand, seven hundred twenty".