26945800 has 96 divisors (see below), whose sum is σ = 75441600. Its totient is φ = 8743680.

The previous prime is 26945797. The next prime is 26945861. The reversal of 26945800 is 854962.

It is a happy number.

It is a super-2 number, since 2×26945800² = 1452152275280000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26094 + ... + 27106.

It is an arithmetic number, because the mean of its divisors is an integer number (785850).

Almost surely, 2^26945800 is an apocalyptic number.

26945800 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 26945800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37720800).

26945800 is an abundant number, since it is smaller than the sum of its proper divisors (48495800).

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

26945800 is a wasteful number, since it uses less digits than its factorization.

26945800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 26945800 is about 5190.9344052877. The cubic root of 26945800 is about 299.7991247864.

The spelling of 26945800 in words is "twenty-six million, nine hundred forty-five thousand, eight hundred".