26862960 has 160 divisors (see below), whose sum is σ = 90351360. Its totient is φ = 6580224.

The previous prime is 26862949. The next prime is 26862971. The reversal of 26862960 is 6926862.

It is an interprime number because it is at equal distance from previous prime (26862949) and next prime (26862971).

It is a congruent number.

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, 196012 + ... + 196148.

It is an arithmetic number, because the mean of its divisors is an integer number (564696).

Almost surely, 2^26862960 is an apocalyptic number.

26862960 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 26862960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45175680).

26862960 is an abundant number, since it is smaller than the sum of its proper divisors (63488400).

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

26862960 is a wasteful number, since it uses less digits than its factorization.

26862960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 26862960 is about 5182.9489675280. The cubic root of 26862960 is about 299.4915833061.

The spelling of 26862960 in words is "twenty-six million, eight hundred sixty-two thousand, nine hundred sixty".