26727642 has 48 divisors (see below), whose sum is σ = 62949120. Its totient is φ = 8164800.

The previous prime is 26727641. The next prime is 26727643. The reversal of 26727642 is 24672762.

26727642 is a `hidden beast` number, since 2 + 6 + 7 + 2 + 7 + 642 = 666.

It is an interprime number because it is at equal distance from previous prime (26727641) and next prime (26727643).

It is a junction number, because it is equal to n+sod(n) for n = 26727597 and 26727606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26727641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9342 + ... + 11862.

It is an arithmetic number, because the mean of its divisors is an integer number (1311440).

Almost surely, 2^26727642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26727642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31474560).

26727642 is an abundant number, since it is smaller than the sum of its proper divisors (36221478).

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

26727642 is a wasteful number, since it uses less digits than its factorization.

26727642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2579 (or 2576 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 26727642 is about 5169.8783351255. The cubic root of 26727642 is about 298.9878557201.

The spelling of 26727642 in words is "twenty-six million, seven hundred twenty-seven thousand, six hundred forty-two".