263424096 has 192 divisors, whose sum is σ = 846720000. Its totient is φ = 79170048.

The previous prime is 263424089. The next prime is 263424107. The reversal of 263424096 is 690424362.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 263424096.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 527655 + ... + 528153.

It is an arithmetic number, because the mean of its divisors is an integer number (4410000).

Almost surely, 2^263424096 is an apocalyptic number.

263424096 is a gapful number since it is divisible by the number (26) 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 263424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423360000).

263424096 is an abundant number, since it is smaller than the sum of its proper divisors (583295904).

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

263424096 is a wasteful number, since it uses less digits than its factorization.

263424096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 263424096 is about 16230.3449131557. The cubic root of 263424096 is about 641.0400537016.

The spelling of 263424096 in words is "two hundred sixty-three million, four hundred twenty-four thousand, ninety-six".