128297160 has 96 divisors (see below), whose sum is σ = 431379000. Its totient is φ = 33030144.

The previous prime is 128297119. The next prime is 128297179. The reversal of 128297160 is 61792821.

It can be written as a sum of positive squares in 4 ways, for example, as 118069956 + 10227204 = 10866^2 + 3198^2 .

It is a super-2 number, since 2×128297160² = 32920322528131200, which contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 4296 + ... + 16584.

Almost surely, 2^128297160 is an apocalyptic number.

128297160 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 128297160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215689500).

128297160 is an abundant number, since it is smaller than the sum of its proper divisors (303081840).

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

128297160 is a wasteful number, since it uses less digits than its factorization.

128297160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12335 (or 12328 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 128297160 is about 11326.8336263936. The cubic root of 128297160 is about 504.3581166066.

The spelling of 128297160 in words is "one hundred twenty-eight million, two hundred ninety-seven thousand, one hundred sixty".