128799801 has 45 divisors (see below), whose sum is σ = 210513501. Its totient is φ = 78444288.

The previous prime is 128799767. The next prime is 128799851. The reversal of 128799801 is 108997821.

The square root of 128799801 is 11349.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 23532201 + 105267600 = 4851^2 + 10260^2 .

It is not a de Polignac number, because 128799801 - 2¹⁵ = 128767033 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (128799851) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1327785 + ... + 1327881.

Almost surely, 2^128799801 is an apocalyptic number.

128799801 is the 11349-th square number.

128799801 is the 5675-th centered octagonal number.

It is an amenable number.

128799801 is a deficient number, since it is larger than the sum of its proper divisors (81713700).

128799801 is an frugal number, since it uses more digits than its factorization.

128799801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The cubic root of 128799801 is about 505.0159142781.

It can be divided in two parts, 128799 and 801, that added together give a square (129600 = 360²).

The spelling of 128799801 in words is "one hundred twenty-eight million, seven hundred ninety-nine thousand, eight hundred one".