128401680 has 160 divisors (see below), whose sum is σ = 459934848. Its totient is φ = 29286400.

The previous prime is 128401661. The next prime is 128401687. The reversal of 128401680 is 86104821.

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

It is not an unprimeable number, because it can be changed into a prime (128401687) 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 31 ways as a sum of consecutive naturals, for example, 43450 + ... + 46310.

Almost surely, 2^128401680 is an apocalyptic number.

128401680 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 128401680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229967424).

128401680 is an abundant number, since it is smaller than the sum of its proper divisors (331533168).

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

128401680 is a wasteful number, since it uses less digits than its factorization.

128401680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2899 counting only the distinct ones).

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

The square root of 128401680 is about 11331.4465096033. The cubic root of 128401680 is about 504.4950414394.

The spelling of 128401680 in words is "one hundred twenty-eight million, four hundred one thousand, six hundred eighty".