128067600 has 240 divisors, whose sum is σ = 445596480. Its totient is φ = 31334400.

The previous prime is 128067521. The next prime is 128067607. The reversal of 128067600 is 6760821.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (128067607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 934732 + ... + 934868.

It is an arithmetic number, because the mean of its divisors is an integer number (1856652).

Almost surely, 2^128067600 is an apocalyptic number.

128067600 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 128067600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222798240).

128067600 is an abundant number, since it is smaller than the sum of its proper divisors (317528880).

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

128067600 is a wasteful number, since it uses less digits than its factorization.

128067600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 128067600 is about 11316.6956307926. The cubic root of 128067600 is about 504.0571237848.

The spelling of 128067600 in words is "one hundred twenty-eight million, sixty-seven thousand, six hundred".