263072840 has 32 divisors (see below), whose sum is σ = 592392960. Its totient is φ = 105144000.

The previous prime is 263072819. The next prime is 263072861. The reversal of 263072840 is 48270362.

263072840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (263072819) and next prime (263072861).

It is a junction number, because it is equal to n+sod(n) for n = 263072797 and 263072806.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76355 + ... + 79725.

It is an arithmetic number, because the mean of its divisors is an integer number (18512280).

Almost surely, 2^263072840 is an apocalyptic number.

263072840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

263072840 is an abundant number, since it is smaller than the sum of its proper divisors (329320120).

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

263072840 is a wasteful number, since it uses less digits than its factorization.

263072840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5333 (or 5329 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 263072840 is about 16219.5203381604. The cubic root of 263072840 is about 640.7550009106.

The spelling of 263072840 in words is "two hundred sixty-three million, seventy-two thousand, eight hundred forty".