26253120 has 224 divisors, whose sum is σ = 92171520. Its totient is φ = 6307840.

The previous prime is 26253113. The next prime is 26253137. The reversal of 26253120 is 2135262.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640300 + ... + 640340.

It is an arithmetic number, because the mean of its divisors is an integer number (411480).

Almost surely, 2^26253120 is an apocalyptic number.

26253120 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 26253120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46085760).

26253120 is an abundant number, since it is smaller than the sum of its proper divisors (65918400).

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

26253120 is a wasteful number, since it uses less digits than its factorization.

26253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 26253120 is about 5123.7798547557. The cubic root of 26253120 is about 297.2078717980.

Adding to 26253120 its reverse (2135262), we get a palindrome (28388382).

The spelling of 26253120 in words is "twenty-six million, two hundred fifty-three thousand, one hundred twenty".