268646544 has 100 divisors (see below), whose sum is σ = 785924524. Its totient is φ = 88584192.

The previous prime is 268646533. The next prime is 268646549. The reversal of 268646544 is 445646862.

268646544 is a `hidden beast` number, since 2 + 68 + 6 + 46 + 544 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56070144 + 212576400 = 7488^2 + 14580^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 268646544.

It is not an unprimeable number, because it can be changed into a prime (268646549) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 124644 + ... + 126780.

Almost surely, 2^268646544 is an apocalyptic number.

268646544 is a gapful number since it is divisible by the number (24) 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 268646544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392962262).

268646544 is an abundant number, since it is smaller than the sum of its proper divisors (517277980).

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

268646544 is a wasteful number, since it uses less digits than its factorization.

268646544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2239 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 268646544 is about 16390.4406286103. The cubic root of 268646544 is about 645.2486223795.

The spelling of 268646544 in words is "two hundred sixty-eight million, six hundred forty-six thousand, five hundred forty-four".