263114040 has 128 divisors (see below), whose sum is σ = 917568000. Its totient is φ = 59109888.

The previous prime is 263114023. The next prime is 263114053. The reversal of 263114040 is 40411362.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 263113998 and 263114016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46906 + ... + 52214.

It is an arithmetic number, because the mean of its divisors is an integer number (7168500).

Almost surely, 2^263114040 is an apocalyptic number.

263114040 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 263114040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458784000).

263114040 is an abundant number, since it is smaller than the sum of its proper divisors (654453960).

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

263114040 is a wasteful number, since it uses less digits than its factorization.

263114040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5389 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 263114040 is about 16220.7903629879. The cubic root of 263114040 is about 640.7884488434.

The spelling of 263114040 in words is "two hundred sixty-three million, one hundred fourteen thousand, forty".