26880192 has 84 divisors (see below), whose sum is σ = 80436720. Its totient is φ = 8566272.

The previous prime is 26880173. The next prime is 26880209. The reversal of 26880192 is 29108862.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 12234 + ... + 14262.

It is an arithmetic number, because the mean of its divisors is an integer number (957580).

Almost surely, 2^26880192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26880192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40218360).

26880192 is an abundant number, since it is smaller than the sum of its proper divisors (53556528).

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

26880192 is a wasteful number, since it uses less digits than its factorization.

26880192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2070 (or 2057 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 26880192 is about 5184.6110750952. The cubic root of 26880192 is about 299.5556087130. Note that the first 3 decimals are identical.

It can be divided in two parts, 26880 and 192, that added together give a palindrome (27072).

The spelling of 26880192 in words is "twenty-six million, eight hundred eighty thousand, one hundred ninety-two".