26566120 has 64 divisors (see below), whose sum is σ = 69235200. Its totient is φ = 8985600.

The previous prime is 26566093. The next prime is 26566147. The reversal of 26566120 is 2166562.

It is an interprime number because it is at equal distance from previous prime (26566093) and next prime (26566147).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21520 + ... + 22720.

It is an arithmetic number, because the mean of its divisors is an integer number (1081800).

Almost surely, 2^26566120 is an apocalyptic number.

26566120 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 26566120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34617600).

26566120 is an abundant number, since it is smaller than the sum of its proper divisors (42669080).

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

26566120 is a wasteful number, since it uses less digits than its factorization.

26566120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 26566120 is about 5154.2332116426. The cubic root of 26566120 is about 298.3843515909.

The spelling of 26566120 in words is "twenty-six million, five hundred sixty-six thousand, one hundred twenty".