26896000 has 96 divisors (see below), whose sum is σ = 68540940. Its totient is φ = 10496000.

The previous prime is 26895991. The next prime is 26896013. The reversal of 26896000 is 69862.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 3779136 + 23116864 = 1944^2 + 4808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 655980 + ... + 656020.

Almost surely, 2^26896000 is an apocalyptic number.

26896000 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 26896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34270470).

26896000 is an abundant number, since it is smaller than the sum of its proper divisors (41644940).

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

26896000 is an frugal number, since it uses more digits than its factorization.

26896000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 26896000 is about 5186.1353626761. The cubic root of 26896000 is about 299.6143191950.

The spelling of 26896000 in words is "twenty-six million, eight hundred ninety-six thousand".