128168040 has 384 divisors, whose sum is σ = 525530880. Its totient is φ = 24330240.

The previous prime is 128168011. The next prime is 128168069. The reversal of 128168040 is 40861821.

It is an interprime number because it is at equal distance from previous prime (128168011) and next prime (128168069).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 128167989 and 128168007.

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, 1321272 + ... + 1321368.

It is an arithmetic number, because the mean of its divisors is an integer number (1368570).

Almost surely, 2^128168040 is an apocalyptic number.

128168040 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 128168040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262765440).

128168040 is an abundant number, since it is smaller than the sum of its proper divisors (397362840).

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

128168040 is a wasteful number, since it uses less digits than its factorization.

128168040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 128168040 is about 11321.1324521887. The cubic root of 128168040 is about 504.1888622001.

The spelling of 128168040 in words is "one hundred twenty-eight million, one hundred sixty-eight thousand, forty".