26950800 has 120 divisors (see below), whose sum is σ = 88811776. Its totient is φ = 6981120.

The previous prime is 26950751. The next prime is 26950801. The reversal of 26950800 is 805962.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (26950801) 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, 44097 + ... + 44703.

Almost surely, 2^26950800 is an apocalyptic number.

26950800 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 26950800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44405888).

26950800 is an abundant number, since it is smaller than the sum of its proper divisors (61860976).

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

26950800 is a wasteful number, since it uses less digits than its factorization.

26950800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 26950800 is about 5191.4159918080. The cubic root of 26950800 is about 299.8176669825.

The spelling of 26950800 in words is "twenty-six million, nine hundred fifty thousand, eight hundred".