268690128 has 120 divisors (see below), whose sum is σ = 819322560. Its totient is φ = 75640320.

The previous prime is 268690127. The next prime is 268690129. The reversal of 268690128 is 821096862.

It is an interprime number because it is at equal distance from previous prime (268690127) and next prime (268690129).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 268690128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268690127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166188 + ... + 167796.

It is an arithmetic number, because the mean of its divisors is an integer number (6827688).

Almost surely, 2^268690128 is an apocalyptic number.

268690128 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 268690128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409661280).

268690128 is an abundant number, since it is smaller than the sum of its proper divisors (550632432).

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

268690128 is a wasteful number, since it uses less digits than its factorization.

268690128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1692 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 268690128 is about 16391.7701301598. The cubic root of 268690128 is about 645.2835145652.

The spelling of 268690128 in words is "two hundred sixty-eight million, six hundred ninety thousand, one hundred twenty-eight".