128087568 has 150 divisors (see below), whose sum is σ = 431462526. Its totient is φ = 36578304.

The previous prime is 128087563. The next prime is 128087573. The reversal of 128087568 is 865780821.

128087568 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 87 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (128087563) and next prime (128087573).

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 5143824 = 11088^2 + 2268^2 .

It is not an unprimeable number, because it can be changed into a prime (128087563) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 62496 + ... + 64512.

Almost surely, 2^128087568 is an apocalyptic number.

128087568 is a gapful number since it is divisible by the number (18) 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 128087568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215731263).

128087568 is an abundant number, since it is smaller than the sum of its proper divisors (303374958).

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

128087568 is a wasteful number, since it uses less digits than its factorization.

128087568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 128087568 is about 11317.5778327344. The cubic root of 128087568 is about 504.0833195585.

The spelling of 128087568 in words is "one hundred twenty-eight million, eighty-seven thousand, five hundred sixty-eight".