268349760 has 672 divisors, whose sum is σ = 1198229760. Its totient is φ = 55738368.

The previous prime is 268349747. The next prime is 268349761. The reversal of 268349760 is 67943862.

268349760 is a `hidden beast` number, since 26 + 83 + 497 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268349761) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9253426 + ... + 9253454.

It is an arithmetic number, because the mean of its divisors is an integer number (1783080).

Almost surely, 2^268349760 is an apocalyptic number.

268349760 is a gapful number since it is divisible by the number (20) 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 268349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (599114880).

268349760 is an abundant number, since it is smaller than the sum of its proper divisors (929880000).

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

268349760 is a wasteful number, since it uses less digits than its factorization.

268349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 268349760 is about 16381.3845568682. The cubic root of 268349760 is about 645.0109246392.

The spelling of 268349760 in words is "two hundred sixty-eight million, three hundred forty-nine thousand, seven hundred sixty".