128596900 has 18 divisors (see below), whose sum is σ = 279055490. Its totient is φ = 51438720.

The previous prime is 128596879. The next prime is 128596903. The reversal of 128596900 is 9695821.

128596900 = 2256² + 2257² + ... + 2280².

It can be written as a sum of positive squares in 3 ways, for example, as 46656 + 128550244 = 216^2 + 11338^2 .

It is a super-2 number, since 2×128596900² = 33074325379220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128596903) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 642885 + ... + 643084.

Almost surely, 2^128596900 is an apocalyptic number.

128596900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128596900 is an abundant number, since it is smaller than the sum of its proper divisors (150458590).

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

128596900 is a wasteful number, since it uses less digits than its factorization.

128596900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1285983 (or 1285976 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 40.

The square root of 128596900 is about 11340.0573190791. The cubic root of 128596900 is about 504.7505875536.

The spelling of 128596900 in words is "one hundred twenty-eight million, five hundred ninety-six thousand, nine hundred".