128442960 has 60 divisors (see below), whose sum is σ = 431356692. Its totient is φ = 34251264.

The previous prime is 128442959. The next prime is 128442997. The reversal of 128442960 is 69244821.

128442960 is a `hidden beast` number, since 128 + 442 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76947984 + 51494976 = 8772^2 + 7176^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 11 ways as a sum of consecutive naturals, for example, 88477 + ... + 89916.

Almost surely, 2^128442960 is an apocalyptic number.

128442960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128442960 is an abundant number, since it is smaller than the sum of its proper divisors (302913732).

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

128442960 is a wasteful number, since it uses less digits than its factorization.

128442960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178412 (or 178403 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 128442960 is about 11333.2678429480. The cubic root of 128442960 is about 504.5490992056.

It can be divided in two parts, 1284 and 42960, that added together give a palindrome (44244).

The spelling of 128442960 in words is "one hundred twenty-eight million, four hundred forty-two thousand, nine hundred sixty".