268676064 has 144 divisors (see below), whose sum is σ = 815173632. Its totient is φ = 83745024.

The previous prime is 268676047. The next prime is 268676081. The reversal of 268676064 is 460676862.

It is an interprime number because it is at equal distance from previous prime (268676047) and next prime (268676081).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310897 + ... + 311759.

It is an arithmetic number, because the mean of its divisors is an integer number (5660928).

Almost surely, 2^268676064 is an apocalyptic number.

268676064 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 268676064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407586816).

268676064 is an abundant number, since it is smaller than the sum of its proper divisors (546497568).

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

268676064 is a wasteful number, since it uses less digits than its factorization.

268676064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 268676064 is about 16391.3411287789. The cubic root of 268676064 is about 645.2722557150.

The spelling of 268676064 in words is "two hundred sixty-eight million, six hundred seventy-six thousand, sixty-four".