128678760 has 128 divisors (see below), whose sum is σ = 490233600. Its totient is φ = 29410560.

The previous prime is 128678701. The next prime is 128678761. The reversal of 128678760 is 67876821.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (128678761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951 + ... + 16070.

It is an arithmetic number, because the mean of its divisors is an integer number (3829950).

Almost surely, 2^128678760 is an apocalyptic number.

128678760 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 128678760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245116800).

128678760 is an abundant number, since it is smaller than the sum of its proper divisors (361554840).

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

128678760 is a wasteful number, since it uses less digits than its factorization.

128678760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17048 (or 17038 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 128678760 is about 11343.6660740697. Note that the first 3 decimals coincide. The cubic root of 128678760 is about 504.8576666481.

The spelling of 128678760 in words is "one hundred twenty-eight million, six hundred seventy-eight thousand, seven hundred sixty".