26931312 has 80 divisors (see below), whose sum is σ = 79836160. Its totient is φ = 8683200.

The previous prime is 26931293. The next prime is 26931313. The reversal of 26931312 is 21313962.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26931313) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12387 + ... + 14397.

It is an arithmetic number, because the mean of its divisors is an integer number (997952).

Almost surely, 2^26931312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26931312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39918080).

26931312 is an abundant number, since it is smaller than the sum of its proper divisors (52904848).

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

26931312 is a wasteful number, since it uses less digits than its factorization.

26931312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059 (or 2047 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 26931312 is about 5189.5387078237. The cubic root of 26931312 is about 299.7453839634.

It can be divided in two parts, 2693 and 1312, that added together give a triangular number (4005 = T₈₉).

The spelling of 26931312 in words is "twenty-six million, nine hundred thirty-one thousand, three hundred twelve".