26873160 has 64 divisors (see below), whose sum is σ = 81043200. Its totient is φ = 7128576.

The previous prime is 26873153. The next prime is 26873167. The reversal of 26873160 is 6137862.

It is an interprime number because it is at equal distance from previous prime (26873153) and next prime (26873167).

It is not an unprimeable number, because it can be changed into a prime (26873167) 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, 28212 + ... + 29148.

It is an arithmetic number, because the mean of its divisors is an integer number (1266300).

Almost surely, 2^26873160 is an apocalyptic number.

26873160 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 26873160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40521600).

26873160 is an abundant number, since it is smaller than the sum of its proper divisors (54170040).

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

26873160 is a wasteful number, since it uses less digits than its factorization.

26873160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1190 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 26873160 is about 5183.9328699357. The cubic root of 26873160 is about 299.5294846591.

The spelling of 26873160 in words is "twenty-six million, eight hundred seventy-three thousand, one hundred sixty".