26128960 has 112 divisors (see below), whose sum is σ = 73225152. Its totient is φ = 8755200.

The previous prime is 26128957. The next prime is 26128961. The reversal of 26128960 is 6982162.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26128961) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45475 + ... + 46045.

It is an arithmetic number, because the mean of its divisors is an integer number (653796).

Almost surely, 2^26128960 is an apocalyptic number.

26128960 is a gapful number since it is divisible by the number (20) 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 26128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36612576).

26128960 is an abundant number, since it is smaller than the sum of its proper divisors (47096192).

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

26128960 is a wasteful number, since it uses less digits than its factorization.

26128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 602 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 34.

The square root of 26128960 is about 5111.6494402492. The cubic root of 26128960 is about 296.7385986132.

The spelling of 26128960 in words is "twenty-six million, one hundred twenty-eight thousand, nine hundred sixty".