268170240 has 352 divisors, whose sum is σ = 990420480. Its totient is φ = 61341696.

The previous prime is 268170229. The next prime is 268170263. The reversal of 268170240 is 42071862.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 268170198 and 268170207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3394521 + ... + 3394599.

Almost surely, 2^268170240 is an apocalyptic number.

268170240 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 268170240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495210240).

268170240 is an abundant number, since it is smaller than the sum of its proper divisors (722250240).

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

268170240 is a wasteful number, since it uses less digits than its factorization.

268170240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 268170240 is about 16375.9042498422. The cubic root of 268170240 is about 644.8670599162.

The spelling of 268170240 in words is "two hundred sixty-eight million, one hundred seventy thousand, two hundred forty".