128598540 has 288 divisors, whose sum is σ = 463325184. Its totient is φ = 26449920.

The previous prime is 128598529. The next prime is 128598541. The reversal of 128598540 is 45895821.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 128598492 and 128598501.

It is not an unprimeable number, because it can be changed into a prime (128598541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1549339 + ... + 1549421.

It is an arithmetic number, because the mean of its divisors is an integer number (1608768).

Almost surely, 2^128598540 is an apocalyptic number.

128598540 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 128598540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231662592).

128598540 is an abundant number, since it is smaller than the sum of its proper divisors (334726644).

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

128598540 is a wasteful number, since it uses less digits than its factorization.

128598540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 128598540 is about 11340.1296288887. The cubic root of 128598540 is about 504.7527332441.

The spelling of 128598540 in words is "one hundred twenty-eight million, five hundred ninety-eight thousand, five hundred forty".