128600505 has 48 divisors (see below), whose sum is σ = 247216320. Its totient is φ = 61315200.

The previous prime is 128600497. The next prime is 128600533. The reversal of 128600505 is 505006821.

128600505 is a `hidden beast` number, since 1 + 2 + 8 + 600 + 50 + 5 = 666.

It is not a de Polignac number, because 128600505 - 2³ = 128600497 is a prime.

It is a super-3 number, since 3×128600505³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28066 + ... + 32324.

It is an arithmetic number, because the mean of its divisors is an integer number (5150340).

Almost surely, 2^128600505 is an apocalyptic number.

128600505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

128600505 is a deficient number, since it is larger than the sum of its proper divisors (118615815).

128600505 is a wasteful number, since it uses less digits than its factorization.

128600505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4342 (or 4339 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 128600505 is about 11340.2162677790. The cubic root of 128600505 is about 504.7553041237.

The spelling of 128600505 in words is "one hundred twenty-eight million, six hundred thousand, five hundred five".