26166816 has 144 divisors (see below), whose sum is σ = 83243160. Its totient is φ = 7741440.

The previous prime is 26166799. The next prime is 26166851. The reversal of 26166816 is 61866162.

It can be written as a sum of positive squares in 4 ways, for example, as 21344400 + 4822416 = 4620^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (20736) is a multiple of the sum of its prime divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108456 + ... + 108696.

Almost surely, 2^26166816 is an apocalyptic number.

26166816 is a gapful number since it is divisible by the number (26) 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 26166816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41621580).

26166816 is an abundant number, since it is smaller than the sum of its proper divisors (57076344).

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

26166816 is a wasteful number, since it uses less digits than its factorization.

26166816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 288 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 26166816 is about 5115.3510143489. The cubic root of 26166816 is about 296.8818357946.

It can be divided in two parts, 261 and 66816, that multiplied together give a square (17438976 = 4176²).

The spelling of 26166816 in words is "twenty-six million, one hundred sixty-six thousand, eight hundred sixteen".