268734960 has 120 divisors (see below), whose sum is σ = 971958624. Its totient is φ = 66147840.

The previous prime is 268734901. The next prime is 268734971. The reversal of 268734960 is 69437862.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4996 + ... + 23715.

Almost surely, 2^268734960 is an apocalyptic number.

268734960 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 268734960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485979312).

268734960 is an abundant number, since it is smaller than the sum of its proper divisors (703223664).

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

268734960 is a wasteful number, since it uses less digits than its factorization.

268734960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28743 (or 28734 counting only the distinct ones).

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

The square root of 268734960 is about 16393.1375886375. The cubic root of 268734960 is about 645.3194019297.

The spelling of 268734960 in words is "two hundred sixty-eight million, seven hundred thirty-four thousand, nine hundred sixty".