128584001 has 32 divisors (see below), whose sum is σ = 172032000. Its totient is φ = 93234240.

The previous prime is 128583979. The next prime is 128584013. The reversal of 128584001 is 100485821.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-128584001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (128584021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52400 + ... + 54798.

It is an arithmetic number, because the mean of its divisors is an integer number (5376000).

Almost surely, 2^128584001 is an apocalyptic number.

It is an amenable number.

128584001 is a deficient number, since it is larger than the sum of its proper divisors (43447999).

128584001 is a wasteful number, since it uses less digits than its factorization.

128584001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469.

The product of its (nonzero) digits is 2560, while the sum is 29.

The square root of 128584001 is about 11339.4885687142. The cubic root of 128584001 is about 504.7337105383.

The spelling of 128584001 in words is "one hundred twenty-eight million, five hundred eighty-four thousand, one".