26305120 has 96 divisors (see below), whose sum is σ = 69400800. Its totient is φ = 9363456.

The previous prime is 26305087. The next prime is 26305127. The reversal of 26305120 is 2150362.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26305127) 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, 51426 + ... + 51934.

It is an arithmetic number, because the mean of its divisors is an integer number (722925).

Almost surely, 2^26305120 is an apocalyptic number.

26305120 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 26305120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700400).

26305120 is an abundant number, since it is smaller than the sum of its proper divisors (43095680).

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

26305120 is a wasteful number, since it uses less digits than its factorization.

26305120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 26305120 is about 5128.8517233393. The cubic root of 26305120 is about 297.4039706069.

Adding to 26305120 its reverse (2150362), we get a palindrome (28455482).

It can be divided in two parts, 2630 and 5120, that added together give a triangular number (7750 = T₁₂₄).

The spelling of 26305120 in words is "twenty-six million, three hundred five thousand, one hundred twenty".