128006406 has 80 divisors (see below), whose sum is σ = 323825040. Its totient is φ = 37437120.

The previous prime is 128006393. The next prime is 128006441. The reversal of 128006406 is 604600821.

128006406 is a `hidden beast` number, since 12 + 8 + 0 + 0 + 640 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 128006406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50440 + ... + 52916.

It is an arithmetic number, because the mean of its divisors is an integer number (4047813).

Almost surely, 2^128006406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 128006406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161912520).

128006406 is an abundant number, since it is smaller than the sum of its proper divisors (195818634).

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

128006406 is a wasteful number, since it uses less digits than its factorization.

128006406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2531 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 128006406 is about 11313.9916033202. The cubic root of 128006406 is about 503.9768271659.

The spelling of 128006406 in words is "one hundred twenty-eight million, six thousand, four hundred six".