26893120 has 56 divisors (see below), whose sum is σ = 66129408. Its totient is φ = 10406400.

The previous prime is 26893081. The next prime is 26893147. The reversal of 26893120 is 2139862.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8565 + ... + 11275.

Almost surely, 2^26893120 is an apocalyptic number.

26893120 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 26893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33064704).

26893120 is an abundant number, since it is smaller than the sum of its proper divisors (39236288).

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

26893120 is a wasteful number, since it uses less digits than its factorization.

26893120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2749 counting only the distinct ones).

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

The square root of 26893120 is about 5185.8576918384. The cubic root of 26893120 is about 299.6036246675.

The spelling of 26893120 in words is "twenty-six million, eight hundred ninety-three thousand, one hundred twenty".