128974560 has 192 divisors, whose sum is σ = 477550080. Its totient is φ = 28846080.

The previous prime is 128974543. The next prime is 128974567. The reversal of 128974560 is 65479821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128974567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67701 + ... + 69579.

It is an arithmetic number, because the mean of its divisors is an integer number (2487240).

Almost surely, 2^128974560 is an apocalyptic number.

128974560 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 128974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238775040).

128974560 is an abundant number, since it is smaller than the sum of its proper divisors (348575520).

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

128974560 is a wasteful number, since it uses less digits than its factorization.

128974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1921 (or 1913 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 128974560 is about 11356.6967028269. The cubic root of 128974560 is about 505.2442174004.

The spelling of 128974560 in words is "one hundred twenty-eight million, nine hundred seventy-four thousand, five hundred sixty".