128935040 has 64 divisors (see below), whose sum is σ = 331967160. Its totient is φ = 47603712.

The previous prime is 128934991. The next prime is 128935043. The reversal of 128935040 is 40539821.

It can be written as a sum of positive squares in 4 ways, for example, as 113379904 + 15555136 = 10648^2 + 3944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 128934988 and 128935006.

It is not an unprimeable number, because it can be changed into a prime (128935043) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 572 + ... + 16068.

Almost surely, 2^128935040 is an apocalyptic number.

128935040 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 128935040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165983580).

128935040 is an abundant number, since it is smaller than the sum of its proper divisors (203032120).

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

128935040 is a wasteful number, since it uses less digits than its factorization.

128935040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15529 (or 15517 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The square root of 128935040 is about 11354.9566269537. The cubic root of 128935040 is about 505.1926069865.

The spelling of 128935040 in words is "one hundred twenty-eight million, nine hundred thirty-five thousand, forty".