128079360 has 320 divisors, whose sum is σ = 486129600. Its totient is φ = 31850496.

The previous prime is 128079349. The next prime is 128079389. The reversal of 128079360 is 63970821.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1174986 + ... + 1175094.

It is an arithmetic number, because the mean of its divisors is an integer number (1519155).

Almost surely, 2^128079360 is an apocalyptic number.

128079360 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 128079360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243064800).

128079360 is an abundant number, since it is smaller than the sum of its proper divisors (358050240).

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

128079360 is a wasteful number, since it uses less digits than its factorization.

128079360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 128079360 is about 11317.2152051642. The cubic root of 128079360 is about 504.0725519138.

The spelling of 128079360 in words is "one hundred twenty-eight million, seventy-nine thousand, three hundred sixty".