128090160 has 240 divisors, whose sum is σ = 487468800. Its totient is φ = 31000320.

The previous prime is 128090159. The next prime is 128090173. The reversal of 128090160 is 61090821.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213541 + ... + 214139.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^128090160 is an apocalyptic number.

128090160 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 128090160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243734400).

128090160 is an abundant number, since it is smaller than the sum of its proper divisors (359378640).

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

128090160 is a wasteful number, since it uses less digits than its factorization.

128090160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 128090160 is about 11317.6923442900. The cubic root of 128090160 is about 504.0867197718.

The spelling of 128090160 in words is "one hundred twenty-eight million, ninety thousand, one hundred sixty".