268978176 has 72 divisors (see below), whose sum is σ = 776911590. Its totient is φ = 89653248.

The previous prime is 268978159. The next prime is 268978189. The reversal of 268978176 is 671879862.

It can be written as a sum of positive squares in only one way, i.e., 263218176 + 5760000 = 16224^2 + 2400^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11136 + ... + 25728.

Almost surely, 2^268978176 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 268978176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (388455795).

268978176 is an abundant number, since it is smaller than the sum of its proper divisors (507933414).

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

268978176 is a wasteful number, since it uses less digits than its factorization.

268978176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14621 (or 14598 counting only the distinct ones).

The product of its digits is 2032128, while the sum is 54.

The square root of 268978176 is about 16400.5541369796. The cubic root of 268978176 is about 645.5140232747.

The spelling of 268978176 in words is "two hundred sixty-eight million, nine hundred seventy-eight thousand, one hundred seventy-six".