26165540 has 48 divisors (see below), whose sum is σ = 57380400. Its totient is φ = 10010112.

The previous prime is 26165539. The next prime is 26165551. The reversal of 26165540 is 4556162.

It can be written as a sum of positive squares in 8 ways, for example, as 6522916 + 19642624 = 2554^2 + 4432^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 114146 + ... + 114374.

It is an arithmetic number, because the mean of its divisors is an integer number (1195425).

Almost surely, 2^26165540 is an apocalyptic number.

26165540 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 26165540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28690200).

26165540 is an abundant number, since it is smaller than the sum of its proper divisors (31214860).

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

26165540 is a wasteful number, since it uses less digits than its factorization.

26165540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 464 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

The square root of 26165540 is about 5115.2262902046. The cubic root of 26165540 is about 296.8770099956.

The spelling of 26165540 in words is "twenty-six million, one hundred sixty-five thousand, five hundred forty".