128590496 has 48 divisors (see below), whose sum is σ = 260475264. Its totient is φ = 62459904.

The previous prime is 128590481. The next prime is 128590507. The reversal of 128590496 is 694095821.

It is an unprimeable 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, 290051 + ... + 290493.

It is an arithmetic number, because the mean of its divisors is an integer number (5426568).

Almost surely, 2^128590496 is an apocalyptic number.

128590496 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 128590496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130237632).

128590496 is an abundant number, since it is smaller than the sum of its proper divisors (131884768).

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

128590496 is a wasteful number, since it uses less digits than its factorization.

128590496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 128590496 is about 11339.7749536752. The cubic root of 128590496 is about 504.7422087191.

The spelling of 128590496 in words is "one hundred twenty-eight million, five hundred ninety thousand, four hundred ninety-six".