128424960 has 176 divisors, whose sum is σ = 456890400. Its totient is φ = 34209792.

The previous prime is 128424949. The next prime is 128424973. The reversal of 128424960 is 69424821.

128424960 is a `hidden beast` number, since 128 + 42 + 496 + 0 = 666.

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 15 ways as a sum of consecutive naturals, for example, 137776 + ... + 138704.

Almost surely, 2^128424960 is an apocalyptic number.

128424960 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 128424960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228445200).

128424960 is an abundant number, since it is smaller than the sum of its proper divisors (328465440).

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

128424960 is an equidigital number, since it uses as much as digits as its factorization.

128424960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 939 counting only the distinct ones).

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

The square root of 128424960 is about 11332.4736928881. The cubic root of 128424960 is about 504.5255289296.

It can be divided in two parts, 1284 and 24960, that added together give a square (26244 = 162²).

The spelling of 128424960 in words is "one hundred twenty-eight million, four hundred twenty-four thousand, nine hundred sixty".