128345580 has 384 divisors, whose sum is σ = 487710720. Its totient is φ = 27648000.

The previous prime is 128345527. The next prime is 128345593. The reversal of 128345580 is 85543821.

It is a happy number.

128345580 is a `hidden beast` number, since 128 + 3 + 455 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3130360 + ... + 3130400.

It is an arithmetic number, because the mean of its divisors is an integer number (1270080).

Almost surely, 2^128345580 is an apocalyptic number.

128345580 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 128345580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243855360).

128345580 is an abundant number, since it is smaller than the sum of its proper divisors (359365140).

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

128345580 is a wasteful number, since it uses less digits than its factorization.

128345580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 128345580 is about 11328.9708270434. The cubic root of 128345580 is about 504.4215577315.

The spelling of 128345580 in words is "one hundred twenty-eight million, three hundred forty-five thousand, five hundred eighty".