263361040 has 80 divisors (see below), whose sum is σ = 654708096. Its totient is φ = 98278400.

The previous prime is 263361037. The next prime is 263361041. The reversal of 263361040 is 40163362.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 263360996 and 263361014.

It is not an unprimeable number, because it can be changed into a prime (263361041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73695 + ... + 77185.

Almost surely, 2^263361040 is an apocalyptic number.

263361040 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 263361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327354048).

263361040 is an abundant number, since it is smaller than the sum of its proper divisors (391347056).

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

263361040 is a wasteful number, since it uses less digits than its factorization.

263361040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3568 (or 3562 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 263361040 is about 16228.4022626998. The cubic root of 263361040 is about 640.9889008927.

The spelling of 263361040 in words is "two hundred sixty-three million, three hundred sixty-one thousand, forty".