26668960 has 48 divisors (see below), whose sum is σ = 65753856. Its totient is φ = 10202368.

The previous prime is 26668927. The next prime is 26668963. The reversal of 26668960 is 6986662.

It is a happy number.

It is a super-2 number, since 2×26668960² = 1422466854963200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (26668963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 7303.

It is an arithmetic number, because the mean of its divisors is an integer number (1369872).

Almost surely, 2^26668960 is an apocalyptic number.

26668960 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 26668960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32876928).

26668960 is an abundant number, since it is smaller than the sum of its proper divisors (39084896).

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

26668960 is a wasteful number, since it uses less digits than its factorization.

26668960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7285 (or 7277 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 26668960 is about 5164.1998412145. The cubic root of 26668960 is about 298.7688806540.

The spelling of 26668960 in words is "twenty-six million, six hundred sixty-eight thousand, nine hundred sixty".