268107360 has 96 divisors (see below), whose sum is σ = 856541952. Its totient is φ = 70479360.

The previous prime is 268107353. The next prime is 268107377. The reversal of 268107360 is 63701862.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30147 + ... + 38013.

It is an arithmetic number, because the mean of its divisors is an integer number (8922312).

Almost surely, 2^268107360 is an apocalyptic number.

268107360 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 268107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428270976).

268107360 is an abundant number, since it is smaller than the sum of its proper divisors (588434592).

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

268107360 is a wasteful number, since it uses less digits than its factorization.

268107360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7948 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 268107360 is about 16373.9842433050. The cubic root of 268107360 is about 644.8166536141.

The spelling of 268107360 in words is "two hundred sixty-eight million, one hundred seven thousand, three hundred sixty".