268192560 has 80 divisors (see below), whose sum is σ = 843160320. Its totient is φ = 70506240.

The previous prime is 268192559. The next prime is 268192601. The reversal of 268192560 is 65291862.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9171 + ... + 24909.

It is an arithmetic number, because the mean of its divisors is an integer number (10539504).

Almost surely, 2^268192560 is an apocalyptic number.

268192560 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 268192560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421580160).

268192560 is an abundant number, since it is smaller than the sum of its proper divisors (574967760).

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

268192560 is a wasteful number, since it uses less digits than its factorization.

268192560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15826 (or 15820 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 268192560 is about 16376.5857247474. The cubic root of 268192560 is about 644.8849503347.

The spelling of 268192560 in words is "two hundred sixty-eight million, one hundred ninety-two thousand, five hundred sixty".