26484900 has 72 divisors (see below), whose sum is σ = 82536384. Its totient is φ = 6518400.

The previous prime is 26484883. The next prime is 26484901. The reversal of 26484900 is 948462.

It is not an unprimeable number, because it can be changed into a prime (26484901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 505 + ... + 7295.

Almost surely, 2^26484900 is an apocalyptic number.

26484900 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 26484900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41268192).

26484900 is an abundant number, since it is smaller than the sum of its proper divisors (56051484).

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

26484900 is a wasteful number, since it uses less digits than its factorization.

26484900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6821 (or 6814 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26484900 is about 5146.3482198545. The cubic root of 26484900 is about 298.0799599253.

The spelling of 26484900 in words is "twenty-six million, four hundred eighty-four thousand, nine hundred".