26668320 has 96 divisors (see below), whose sum is σ = 96018048. Its totient is φ = 6094848.

The previous prime is 26668319. The next prime is 26668351. The reversal of 26668320 is 2386662.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×26668320² = 1422398583244800, which contains 22 as substring.

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, 609 + ... + 7328.

It is an arithmetic number, because the mean of its divisors is an integer number (1000188).

Almost surely, 2^26668320 is an apocalyptic number.

26668320 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 26668320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009024).

26668320 is an abundant number, since it is smaller than the sum of its proper divisors (69349728).

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

26668320 is a wasteful number, since it uses less digits than its factorization.

26668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7962 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 26668320 is about 5164.1378757737. The cubic root of 26668320 is about 298.7664906894.

It can be divided in two parts, 266 and 68320, that added together give a palindrome (68586).

The spelling of 26668320 in words is "twenty-six million, six hundred sixty-eight thousand, three hundred twenty".