26053020 has 288 divisors, whose sum is σ = 100638720. Its totient is φ = 5322240.

The previous prime is 26053003. The next prime is 26053057. The reversal of 26053020 is 2035062.

It is a super-2 number, since 2×26053020² = 1357519702240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 26052984 and 26053002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 840405 + ... + 840435.

It is an arithmetic number, because the mean of its divisors is an integer number (349440).

Almost surely, 2^26053020 is an apocalyptic number.

26053020 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 26053020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50319360).

26053020 is an abundant number, since it is smaller than the sum of its proper divisors (74585700).

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

26053020 is a wasteful number, since it uses less digits than its factorization.

26053020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 26053020 is about 5104.2159045244. The cubic root of 26053020 is about 296.4508438843.

Adding to 26053020 its reverse (2035062), we get a palindrome (28088082).

It can be divided in two parts, 2605 and 3020, that added together give a square (5625 = 75²).

The spelling of 26053020 in words is "twenty-six million, fifty-three thousand, twenty".