128339680 has 192 divisors, whose sum is σ = 376911360. Its totient is φ = 40310784.

The previous prime is 128339641. The next prime is 128339689. The reversal of 128339680 is 86933821.

128339680 = 25² + 26² + ... + 727².

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128339689) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 787279 + ... + 787441.

It is an arithmetic number, because the mean of its divisors is an integer number (1963080).

Almost surely, 2^128339680 is an apocalyptic number.

128339680 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 128339680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188455680).

128339680 is an abundant number, since it is smaller than the sum of its proper divisors (248571680).

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

128339680 is a wasteful number, since it uses less digits than its factorization.

128339680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 128339680 is about 11328.7104297003. The cubic root of 128339680 is about 504.4138282541.

The spelling of 128339680 in words is "one hundred twenty-eight million, three hundred thirty-nine thousand, six hundred eighty".