268810960 has 80 divisors (see below), whose sum is σ = 685081152. Its totient is φ = 97280000.

The previous prime is 268810937. The next prime is 268810967. The reversal of 268810960 is 69018862.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×268810960² = 144518664432243200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268810967) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 220272 + ... + 221488.

Almost surely, 2^268810960 is an apocalyptic number.

268810960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

268810960 is the 13387-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268810960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342540576).

268810960 is an abundant number, since it is smaller than the sum of its proper divisors (416270192).

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

268810960 is a wasteful number, since it uses less digits than its factorization.

268810960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1492 (or 1486 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 268810960 is about 16395.4554679033. The cubic root of 268810960 is about 645.3802297082.

The spelling of 268810960 in words is "two hundred sixty-eight million, eight hundred ten thousand, nine hundred sixty".