26879760 has 120 divisors (see below), whose sum is σ = 92802840. Its totient is φ = 6967296.

The previous prime is 26879753. The next prime is 26879777. The reversal of 26879760 is 6797862.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5089536 + 21790224 = 2256^2 + 4668^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26136 + ... + 27144.

It is an arithmetic number, because the mean of its divisors is an integer number (773357).

Almost surely, 2^26879760 is an apocalyptic number.

26879760 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 26879760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46401420).

26879760 is an abundant number, since it is smaller than the sum of its proper divisors (65923080).

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

26879760 is a wasteful number, since it uses less digits than its factorization.

26879760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 26879760 is about 5184.5694131721. The cubic root of 26879760 is about 299.5540039537.

The spelling of 26879760 in words is "twenty-six million, eight hundred seventy-nine thousand, seven hundred sixty".