128964 has 24 divisors (see below), whose sum is σ = 328608. Its totient is φ = 39040.

The previous prime is 128959. The next prime is 128969. The reversal of 128964 is 469821.

It is an interprime number because it is at equal distance from previous prime (128959) and next prime (128969).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (128969) by changing a digit.

128964 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 7 ways as a sum of consecutive naturals, for example, 357 + ... + 620.

It is an arithmetic number, because the mean of its divisors is an integer number (13692).

2¹²⁸⁹⁶⁴ is an apocalyptic number.

It is an amenable number.

128964 is an abundant number, since it is smaller than the sum of its proper divisors (199644).

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

128964 is a wasteful number, since it uses less digits than its factorization.

128964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 995 (or 993 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 128964 is about 359.1155802802. The cubic root of 128964 is about 50.5230427796.

The spelling of 128964 in words is "one hundred twenty-eight thousand, nine hundred sixty-four".