268756488 has 384 divisors, whose sum is σ = 1018886400. Its totient is φ = 63866880.

The previous prime is 268756471. The next prime is 268756529. The reversal of 268756488 is 884657862.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2378320 + ... + 2378432.

It is an arithmetic number, because the mean of its divisors is an integer number (2653350).

Almost surely, 2^268756488 is an apocalyptic number.

268756488 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 268756488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (509443200).

268756488 is an abundant number, since it is smaller than the sum of its proper divisors (750129912).

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

268756488 is a wasteful number, since it uses less digits than its factorization.

268756488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 149 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The square root of 268756488 is about 16393.7941917056. The cubic root of 268756488 is about 645.3366333624.

It can be divided in two parts, 2687564 and 88, that multiplied together give a palindrome (236505632).

The spelling of 268756488 in words is "two hundred sixty-eight million, seven hundred fifty-six thousand, four hundred eighty-eight".