26129280 has 128 divisors (see below), whose sum is σ = 86169600. Its totient is φ = 6727680.

The previous prime is 26129273. The next prime is 26129291. The reversal of 26129280 is 8292162.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59301 + ... + 59739.

It is an arithmetic number, because the mean of its divisors is an integer number (673200).

Almost surely, 2^26129280 is an apocalyptic number.

26129280 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 26129280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43084800).

26129280 is an abundant number, since it is smaller than the sum of its proper divisors (60040320).

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

26129280 is a wasteful number, since it uses less digits than its factorization.

26129280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 26129280 is about 5111.6807412044. The cubic root of 26129280 is about 296.7398099890.

The spelling of 26129280 in words is "twenty-six million, one hundred twenty-nine thousand, two hundred eighty".