26013000 has 256 divisors, whose sum is σ = 94348800. Its totient is φ = 5913600.

The previous prime is 26012993. The next prime is 26013011. The reversal of 26013000 is 31062.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 896986 + ... + 897014.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 2^26013000 is an apocalyptic number.

26013000 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 26013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47174400).

26013000 is an abundant number, since it is smaller than the sum of its proper divisors (68335800).

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

26013000 is a wasteful number, since it uses less digits than its factorization.

26013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 26013000 is about 5100.2941091666. The cubic root of 26013000 is about 296.2989735483.

Adding to 26013000 its reverse (31062), we get a palindrome (26044062).

The spelling of 26013000 in words is "twenty-six million, thirteen thousand".