26406900 has 216 divisors, whose sum is σ = 93047864. Its totient is φ = 6220800.

The previous prime is 26406889. The next prime is 26406901. The reversal of 26406900 is 960462.

It can be written as a sum of positive squares in 12 ways, for example, as 13704804 + 12702096 = 3702^2 + 3564^2 .

It is a super-2 number, since 2×26406900² = 1394648735220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26406901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 432870 + ... + 432930.

Almost surely, 2^26406900 is an apocalyptic number.

26406900 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 26406900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46523932).

26406900 is an abundant number, since it is smaller than the sum of its proper divisors (66640964).

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

26406900 is a wasteful number, since it uses less digits than its factorization.

26406900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 26406900 is about 5138.7644429376. The cubic root of 26406900 is about 297.7870496399.

The spelling of 26406900 in words is "twenty-six million, four hundred six thousand, nine hundred".