26691120 has 120 divisors (see below), whose sum is σ = 93025296. Its totient is φ = 7112448.

The previous prime is 26691103. The next prime is 26691121. The reversal of 26691120 is 2119662.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (26691121) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 18754 + ... + 20126.

Almost surely, 2^26691120 is an apocalyptic number.

26691120 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 26691120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46512648).

26691120 is an abundant number, since it is smaller than the sum of its proper divisors (66334176).

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

26691120 is a wasteful number, since it uses less digits than its factorization.

26691120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 26691120 is about 5166.3449362194. The cubic root of 26691120 is about 298.8516096076.

The spelling of 26691120 in words is "twenty-six million, six hundred ninety-one thousand, one hundred twenty".