263968100 has 72 divisors (see below), whose sum is σ = 645125376. Its totient is φ = 92880000.

The previous prime is 263968093. The next prime is 263968169. The reversal of 263968100 is 1869362.

It is a super-2 number, since 2×263968100² = 139358315635220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30230 + ... + 37970.

Almost surely, 2^263968100 is an apocalyptic number.

263968100 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 263968100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322562688).

263968100 is an abundant number, since it is smaller than the sum of its proper divisors (381157276).

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

263968100 is a wasteful number, since it uses less digits than its factorization.

263968100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7797 (or 7790 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 263968100 is about 16247.0951249754. The cubic root of 263968100 is about 641.4810264874.

The spelling of 263968100 in words is "two hundred sixty-three million, nine hundred sixty-eight thousand, one hundred".