268265088 has 256 divisors, whose sum is σ = 975609600. Its totient is φ = 70668288.

The previous prime is 268265069. The next prime is 268265093. The reversal of 268265088 is 880562862.

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, 314070 + ... + 314922.

It is an arithmetic number, because the mean of its divisors is an integer number (3810975).

Almost surely, 2^268265088 is an apocalyptic number.

268265088 is a gapful number since it is divisible by the number (28) 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 268265088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487804800).

268265088 is an abundant number, since it is smaller than the sum of its proper divisors (707344512).

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

268265088 is a wasteful number, since it uses less digits than its factorization.

268265088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 268265088 is about 16378.7999560407. The cubic root of 268265088 is about 644.9430777241.

It can be divided in two parts, 268 and 265088, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 268265088 in words is "two hundred sixty-eight million, two hundred sixty-five thousand, eighty-eight".