26668800 has 162 divisors, whose sum is σ = 95552912. Its totient is φ = 7096320.

The previous prime is 26668771. The next prime is 26668841. The reversal of 26668800 is 886662.

It is a super-2 number, since 2×26668800² = 1422449786880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57369 + ... + 57831.

Almost surely, 2^26668800 is an apocalyptic number.

26668800 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 26668800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47776456).

26668800 is an abundant number, since it is smaller than the sum of its proper divisors (68884112).

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

26668800 is a wasteful number, since it uses less digits than its factorization.

26668800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 26668800 is about 5164.1843499240. The cubic root of 26668800 is about 298.7682831665.

The spelling of 26668800 in words is "twenty-six million, six hundred sixty-eight thousand, eight hundred".