26849052 has 72 divisors (see below), whose sum is σ = 75675600. Its totient is φ = 7976448.

The previous prime is 26849051. The next prime is 26849063. The reversal of 26849052 is 25094862.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 26848998 and 26849016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26849051) 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, 10474 + ... + 12782.

It is an arithmetic number, because the mean of its divisors is an integer number (1051050).

Almost surely, 2^26849052 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 26849052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37837800).

26849052 is an abundant number, since it is smaller than the sum of its proper divisors (48826548).

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

26849052 is a wasteful number, since it uses less digits than its factorization.

26849052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2355 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 26849052 is about 5181.6070866093. The cubic root of 26849052 is about 299.4398882335.

The spelling of 26849052 in words is "twenty-six million, eight hundred forty-nine thousand, fifty-two".