128160396 has 288 divisors, whose sum is σ = 440294400. Its totient is φ = 30481920.

The previous prime is 128160371. The next prime is 128160401. The reversal of 128160396 is 693061821.

It is a super-3 number, since 3×128160396³ (a number of 25 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 128160396.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1805041 + ... + 1805111.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 2^128160396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128160396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220147200).

128160396 is an abundant number, since it is smaller than the sum of its proper divisors (312134004).

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

128160396 is a wasteful number, since it uses less digits than its factorization.

128160396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 128160396 is about 11320.7948484194. The cubic root of 128160396 is about 504.1788386500.

The spelling of 128160396 in words is "one hundred twenty-eight million, one hundred sixty thousand, three hundred ninety-six".