26705160 has 128 divisors (see below), whose sum is σ = 90432000. Its totient is φ = 7008768.

The previous prime is 26705149. The next prime is 26705171. The reversal of 26705160 is 6150762.

It is an interprime number because it is at equal distance from previous prime (26705149) and next prime (26705171).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85164 + ... + 85476.

It is an arithmetic number, because the mean of its divisors is an integer number (706500).

Almost surely, 2^26705160 is an apocalyptic number.

26705160 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 26705160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45216000).

26705160 is an abundant number, since it is smaller than the sum of its proper divisors (63726840).

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

26705160 is a wasteful number, since it uses less digits than its factorization.

26705160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 26705160 is about 5167.7035518691. The cubic root of 26705160 is about 298.9040008288.

The spelling of 26705160 in words is "twenty-six million, seven hundred five thousand, one hundred sixty".