26842680 has 96 divisors (see below), whose sum is σ = 87946560. Its totient is φ = 7100160.

The previous prime is 26842663. The next prime is 26842691. The reversal of 26842680 is 8624862.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

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, 62065 + ... + 62495.

It is an arithmetic number, because the mean of its divisors is an integer number (916110).

Almost surely, 2^26842680 is an apocalyptic number.

26842680 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 26842680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43973280).

26842680 is an abundant number, since it is smaller than the sum of its proper divisors (61103880).

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

26842680 is a wasteful number, since it uses less digits than its factorization.

26842680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 614 counting only the distinct ones).

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

The square root of 26842680 is about 5180.9921829704. The cubic root of 26842680 is about 299.4161979876.

The spelling of 26842680 in words is "twenty-six million, eight hundred forty-two thousand, six hundred eighty".