268849080 has 96 divisors (see below), whose sum is σ = 882882000. Its totient is φ = 70944768.

The previous prime is 268849079. The next prime is 268849099. The reversal of 268849080 is 80948862.

It is a happy number.

268849080 is a `hidden beast` number, since 2 + 6 + 88 + 490 + 80 = 666.

It is a super-3 number, since 3×268849080³ (a number of 26 digits) contains 333 as substring.

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, 31071 + ... + 38769.

Almost surely, 2^268849080 is an apocalyptic number.

268849080 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 268849080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441441000).

268849080 is an abundant number, since it is smaller than the sum of its proper divisors (614032920).

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

268849080 is a wasteful number, since it uses less digits than its factorization.

268849080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7813 (or 7806 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 268849080 is about 16396.6179439542. The cubic root of 268849080 is about 645.4107353239.

The spelling of 268849080 in words is "two hundred sixty-eight million, eight hundred forty-nine thousand, eighty".