26664960 has 224 divisors, whose sum is σ = 100657152. Its totient is φ = 5898240.

The previous prime is 26664947. The next prime is 26664971. The reversal of 26664960 is 6946662.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×26664960² = 1422040183603200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 860145 + ... + 860175.

Almost surely, 2^26664960 is an apocalyptic number.

26664960 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 26664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50328576).

26664960 is an abundant number, since it is smaller than the sum of its proper divisors (73992192).

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

26664960 is an equidigital number, since it uses as much as digits as its factorization.

26664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 26664960 is about 5163.8125450097. The cubic root of 26664960 is about 298.7539427478.

It can be divided in two parts, 2666 and 4960, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 26664960 in words is "twenty-six million, six hundred sixty-four thousand, nine hundred sixty".