268917390 has 216 divisors, whose sum is σ = 868090392. Its totient is φ = 57576960.

The previous prime is 268917379. The next prime is 268917421. The reversal of 268917390 is 93719862.

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 107 ways as a sum of consecutive naturals, for example, 1274385 + ... + 1274595.

It is an arithmetic number, because the mean of its divisors is an integer number (4018937).

Almost surely, 2^268917390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268917390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434045196).

268917390 is an abundant number, since it is smaller than the sum of its proper divisors (599173002).

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

268917390 is a wasteful number, since it uses less digits than its factorization.

268917390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 268917390 is about 16398.7008631782. The cubic root of 268917390 is about 645.4653933423.

The spelling of 268917390 in words is "two hundred sixty-eight million, nine hundred seventeen thousand, three hundred ninety".