268766748 has 72 divisors (see below), whose sum is σ = 715233792. Its totient is φ = 88230384.

The previous prime is 268766747. The next prime is 268766783. The reversal of 268766748 is 847667862.

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

It is a junction number, because it is equal to n+sod(n) for n = 268766694 and 268766703.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268766741) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63061 + ... + 67187.

Almost surely, 2^268766748 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268766748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357616896).

268766748 is an abundant number, since it is smaller than the sum of its proper divisors (446467044).

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

268766748 is a wasteful number, since it uses less digits than its factorization.

268766748 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4213 (or 4199 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 268766748 is about 16394.1071120083. The cubic root of 268766748 is about 645.3448453435.

The spelling of 268766748 in words is "two hundred sixty-eight million, seven hundred sixty-six thousand, seven hundred forty-eight".