26860960 has 96 divisors (see below), whose sum is σ = 75116160. Its totient is φ = 8881152.

The previous prime is 26860909. The next prime is 26860961. The reversal of 26860960 is 6906862.

It is a super-2 number, since 2×26860960² = 1443022344243200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26860961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32067 + ... + 32893.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 2^26860960 is an apocalyptic number.

26860960 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 26860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37558080).

26860960 is an abundant number, since it is smaller than the sum of its proper divisors (48255200).

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

26860960 is a wasteful number, since it uses less digits than its factorization.

26860960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 878 (or 870 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 26860960 is about 5182.7560235844. The cubic root of 26860960 is about 299.4841505432.

The spelling of 26860960 in words is "twenty-six million, eight hundred sixty thousand, nine hundred sixty".