26829672 has 64 divisors (see below), whose sum is σ = 74779200. Its totient is φ = 7971840.

The previous prime is 26829631. The next prime is 26829679. The reversal of 26829672 is 27692862.

It is not an unprimeable number, because it can be changed into a prime (26829679) 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, 6022 + ... + 9482.

It is an arithmetic number, because the mean of its divisors is an integer number (1168425).

Almost surely, 2^26829672 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 26829672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37389600).

26829672 is an abundant number, since it is smaller than the sum of its proper divisors (47949528).

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

26829672 is a wasteful number, since it uses less digits than its factorization.

26829672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3506 (or 3502 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 26829672 is about 5179.7366728435. The cubic root of 26829672 is about 299.3678243377.

The spelling of 26829672 in words is "twenty-six million, eight hundred twenty-nine thousand, six hundred seventy-two".