26201160 has 96 divisors (see below), whose sum is σ = 86406840. Its totient is φ = 6884352.

The previous prime is 26201159. The next prime is 26201167. The reversal of 26201160 is 6110262.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 24860196 + 1340964 = 4986^2 + 1158^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (26201167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25782 + ... + 26778.

Almost surely, 2^26201160 is an apocalyptic number.

26201160 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 26201160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43203420).

26201160 is an abundant number, since it is smaller than the sum of its proper divisors (60205680).

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

26201160 is a wasteful number, since it uses less digits than its factorization.

26201160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1087 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 26201160 is about 5118.7068679501. The cubic root of 26201160 is about 297.0116650181.

The spelling of 26201160 in words is "twenty-six million, two hundred one thousand, one hundred sixty".