128059920 has 160 divisors (see below), whose sum is σ = 446221440. Its totient is φ = 33753600.

The previous prime is 128059907. The next prime is 128059927. The reversal of 128059920 is 29950821.

It is a super-2 number, since 2×128059920² = 32798686220812800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (128059927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 217867 + ... + 218453.

It is an arithmetic number, because the mean of its divisors is an integer number (2788884).

Almost surely, 2^128059920 is an apocalyptic number.

128059920 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 128059920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223110720).

128059920 is an abundant number, since it is smaller than the sum of its proper divisors (318161520).

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

128059920 is a wasteful number, since it uses less digits than its factorization.

128059920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 128059920 is about 11316.3563040406. The cubic root of 128059920 is about 504.0470477622.

The spelling of 128059920 in words is "one hundred twenty-eight million, fifty-nine thousand, nine hundred twenty".