26250800 has 120 divisors (see below), whose sum is σ = 68269440. Its totient is φ = 9676800.

The previous prime is 26250793. The next prime is 26250803. The reversal of 26250800 is 805262.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (26250803) 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, 359564 + ... + 359636.

It is an arithmetic number, because the mean of its divisors is an integer number (568912).

Almost surely, 2^26250800 is an apocalyptic number.

26250800 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 26250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34134720).

26250800 is an abundant number, since it is smaller than the sum of its proper divisors (42018640).

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

26250800 is a wasteful number, since it uses less digits than its factorization.

26250800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 26250800 is about 5123.5534543908. The cubic root of 26250800 is about 297.1991167424.

The spelling of 26250800 in words is "twenty-six million, two hundred fifty thousand, eight hundred".