268203936 has 192 divisors, whose sum is σ = 945616896. Its totient is φ = 64281600.

The previous prime is 268203931. The next prime is 268203961. The reversal of 268203936 is 639302862.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 268203894 and 268203903.

It is not an unprimeable number, because it can be changed into a prime (268203931) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94701 + ... + 97491.

It is an arithmetic number, because the mean of its divisors is an integer number (4925088).

Almost surely, 2^268203936 is an apocalyptic number.

268203936 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 268203936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472808448).

268203936 is an abundant number, since it is smaller than the sum of its proper divisors (677412960).

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

268203936 is a wasteful number, since it uses less digits than its factorization.

268203936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2835 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 268203936 is about 16376.9330462086. The cubic root of 268203936 is about 644.8940682952.

The spelling of 268203936 in words is "two hundred sixty-eight million, two hundred three thousand, nine hundred thirty-six".