268849152 has 416 divisors, whose sum is σ = 990783360. Its totient is φ = 70778880.

The previous prime is 268849127. The next prime is 268849157. The reversal of 268849152 is 251948862.

It is a tau number, because it is divible by the number of its divisors (416).

It is a super-2 number, since 2×268849152² = 144559733062238208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268849098 and 268849107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268849157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15814648 + ... + 15814664.

Almost surely, 2^268849152 is an apocalyptic number.

268849152 is a gapful number since it is divisible by the number (22) 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 268849152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495391680).

268849152 is an abundant number, since it is smaller than the sum of its proper divisors (721934208).

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

268849152 is a wasteful number, since it uses less digits than its factorization.

268849152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 46 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 268849152 is about 16396.6201395288. The cubic root of 268849152 is about 645.4107929394.

The spelling of 268849152 in words is "two hundred sixty-eight million, eight hundred forty-nine thousand, one hundred fifty-two".