26985120 has 96 divisors (see below), whose sum is σ = 90030528. Its totient is φ = 6770688.

The previous prime is 26985071. The next prime is 26985163. The reversal of 26985120 is 2158962.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 6507 + ... + 9813.

It is an arithmetic number, because the mean of its divisors is an integer number (937818).

Almost surely, 2^26985120 is an apocalyptic number.

26985120 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 26985120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45015264).

26985120 is an abundant number, since it is smaller than the sum of its proper divisors (63045408).

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

26985120 is a wasteful number, since it uses less digits than its factorization.

26985120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3342 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 26985120 is about 5194.7203967105. The cubic root of 26985120 is about 299.9448787617.

The spelling of 26985120 in words is "twenty-six million, nine hundred eighty-five thousand, one hundred twenty".