128006610 has 64 divisors (see below), whose sum is σ = 328043520. Its totient is φ = 31872960.

The previous prime is 128006581. The next prime is 128006611. The reversal of 128006610 is 16600821.

It is not an unprimeable number, because it can be changed into a prime (128006611) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38889 + ... + 42051.

It is an arithmetic number, because the mean of its divisors is an integer number (5125680).

Almost surely, 2^128006610 is an apocalyptic number.

128006610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 128006610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164021760).

128006610 is an abundant number, since it is smaller than the sum of its proper divisors (200036910).

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

128006610 is a wasteful number, since it uses less digits than its factorization.

128006610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3263.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 128006610 is about 11314.0006187025. Note that the first 3 decimals coincide. The cubic root of 128006610 is about 503.9770948900.

The spelling of 128006610 in words is "one hundred twenty-eight million, six thousand, six hundred ten".