128784096 has 144 divisors (see below), whose sum is σ = 422682624. Its totient is φ = 36433152.

The previous prime is 128784077. The next prime is 128784101. The reversal of 128784096 is 690487821.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255781 + ... + 256283.

It is an arithmetic number, because the mean of its divisors is an integer number (2935296).

Almost surely, 2^128784096 is an apocalyptic number.

128784096 is a gapful number since it is divisible by the number (16) 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 128784096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211341312).

128784096 is an abundant number, since it is smaller than the sum of its proper divisors (293898528).

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

128784096 is a wasteful number, since it uses less digits than its factorization.

128784096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 653 (or 642 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 128784096 is about 11348.3080677253. The cubic root of 128784096 is about 504.9953873382.

The spelling of 128784096 in words is "one hundred twenty-eight million, seven hundred eighty-four thousand, ninety-six".