128584000 has 56 divisors (see below), whose sum is σ = 318458088. Its totient is φ = 51430400.

The previous prime is 128583979. The next prime is 128584013. The reversal of 128584000 is 485821.

It can be written as a sum of positive squares in 4 ways, for example, as 18249984 + 110334016 = 4272^2 + 10504^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 128584000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37 + ... + 16036.

Almost surely, 2^128584000 is an apocalyptic number.

128584000 is a gapful number since it is divisible by the number (10) 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 128584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159229044).

128584000 is an abundant number, since it is smaller than the sum of its proper divisors (189874088).

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

128584000 is an equidigital number, since it uses as much as digits as its factorization.

128584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16100 (or 16080 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 128584000 is about 11339.4885246205. The cubic root of 128584000 is about 504.7337092299.

The spelling of 128584000 in words is "one hundred twenty-eight million, five hundred eighty-four thousand".