26165380 has 48 divisors (see below), whose sum is σ = 59630256. Its totient is φ = 9605120.

The previous prime is 26165287. The next prime is 26165383. The reversal of 26165380 is 8356162.

It can be written as a sum of positive squares in 8 ways, for example, as 521284 + 25644096 = 722^2 + 5064^2 .

It is a super-2 number, since 2×26165380² = 1369254221088800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26165383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13002 + ... + 14878.

It is an arithmetic number, because the mean of its divisors is an integer number (1242297).

Almost surely, 2^26165380 is an apocalyptic number.

26165380 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 26165380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29815128).

26165380 is an abundant number, since it is smaller than the sum of its proper divisors (33464876).

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

26165380 is a wasteful number, since it uses less digits than its factorization.

26165380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1944 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 26165380 is about 5115.2106505989. The cubic root of 26165380 is about 296.8764048687.

The spelling of 26165380 in words is "twenty-six million, one hundred sixty-five thousand, three hundred eighty".