26688420 has 96 divisors (see below), whose sum is σ = 90599040. Its totient is φ = 6468480.

The previous prime is 26688391. The next prime is 26688421. The reversal of 26688420 is 2488662.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (26688421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3694 + ... + 8186.

It is an arithmetic number, because the mean of its divisors is an integer number (943740).

Almost surely, 2^26688420 is an apocalyptic number.

26688420 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 26688420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45299520).

26688420 is an abundant number, since it is smaller than the sum of its proper divisors (63910620).

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

26688420 is a wasteful number, since it uses less digits than its factorization.

26688420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 4514 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 26688420 is about 5166.0836230166. The cubic root of 26688420 is about 298.8415322666.

The spelling of 26688420 in words is "twenty-six million, six hundred eighty-eight thousand, four hundred twenty".