26128320 has 112 divisors (see below), whose sum is σ = 87892128. Its totient is φ = 6553600.

The previous prime is 26128279. The next prime is 26128321. The reversal of 26128320 is 2382162.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26128321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15520 + ... + 17120.

Almost surely, 2^26128320 is an apocalyptic number.

26128320 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 26128320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43946064).

26128320 is an abundant number, since it is smaller than the sum of its proper divisors (61763808).

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

26128320 is a wasteful number, since it uses less digits than its factorization.

26128320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1638 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 26128320 is about 5111.5868377638. The cubic root of 26128320 is about 296.7361758321.

The spelling of 26128320 in words is "twenty-six million, one hundred twenty-eight thousand, three hundred twenty".