26265200 has 60 divisors (see below), whose sum is σ = 67969608. Its totient is φ = 9696000.

The previous prime is 26265193. The next prime is 26265203. The reversal of 26265200 is 256262.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26265203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2675 + ... + 7725.

Almost surely, 2^26265200 is an apocalyptic number.

26265200 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 26265200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33984804).

26265200 is an abundant number, since it is smaller than the sum of its proper divisors (41704408).

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

26265200 is a wasteful number, since it uses less digits than its factorization.

26265200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5082 (or 5071 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 26265200 is about 5124.9585364176. The cubic root of 26265200 is about 297.2534501339.

The spelling of 26265200 in words is "twenty-six million, two hundred sixty-five thousand, two hundred".