26742688 has 48 divisors (see below), whose sum is σ = 60528384. Its totient is φ = 11393280.

The previous prime is 26742673. The next prime is 26742691. The reversal of 26742688 is 88624762.

It is a super-2 number, since 2×26742688² = 1430342722930688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61833 + ... + 62263.

It is an arithmetic number, because the mean of its divisors is an integer number (1261008).

Almost surely, 2^26742688 is an apocalyptic number.

26742688 is a gapful number since it is divisible by the number (28) 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 26742688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30264192).

26742688 is an abundant number, since it is smaller than the sum of its proper divisors (33785696).

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

26742688 is a wasteful number, since it uses less digits than its factorization.

26742688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725 (or 717 counting only the distinct ones).

The product of its digits is 258048, while the sum is 43.

The square root of 26742688 is about 5171.3332903614. Note that the first 3 decimals coincide. The cubic root of 26742688 is about 299.0439490511.

The spelling of 26742688 in words is "twenty-six million, seven hundred forty-two thousand, six hundred eighty-eight".