26005020 has 48 divisors (see below), whose sum is σ = 73288320. Its totient is φ = 6889536.

The previous prime is 26005003. The next prime is 26005027. The reversal of 26005020 is 2050062.

It is a super-2 number, since 2×26005020² = 1352522130400800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26005027) 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, 8451 + ... + 11109.

It is an arithmetic number, because the mean of its divisors is an integer number (1526840).

Almost surely, 2^26005020 is an apocalyptic number.

26005020 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 26005020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36644160).

26005020 is an abundant number, since it is smaller than the sum of its proper divisors (47283300).

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

26005020 is a wasteful number, since it uses less digits than its factorization.

26005020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 26005020 is about 5099.5117413337. The cubic root of 26005020 is about 296.2686719346.

Adding to 26005020 its reverse (2050062), we get a palindrome (28055082).

The spelling of 26005020 in words is "twenty-six million, five thousand, twenty".