263538968 has 192 divisors, whose sum is σ = 689472000. Its totient is φ = 91998720.

The previous prime is 263538943. The next prime is 263538983. The reversal of 263538968 is 869835362.

263538968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2961068 + ... + 2961156.

It is an arithmetic number, because the mean of its divisors is an integer number (3591000).

Almost surely, 2^263538968 is an apocalyptic number.

263538968 is a gapful number since it is divisible by the number (28) 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 263538968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344736000).

263538968 is an abundant number, since it is smaller than the sum of its proper divisors (425933032).

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

263538968 is a wasteful number, since it uses less digits than its factorization.

263538968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 151 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 50.

The square root of 263538968 is about 16233.8833308608. The cubic root of 263538968 is about 641.1332201367.

It can be divided in two parts, 263538 and 968, that multiplied together give a square (255104784 = 15972²).

The spelling of 263538968 in words is "two hundred sixty-three million, five hundred thirty-eight thousand, nine hundred sixty-eight".