26849004 has 96 divisors (see below), whose sum is σ = 80532480. Its totient is φ = 6766848.

The previous prime is 26849003. The next prime is 26849023. The reversal of 26849004 is 40094862.

It is not an unprimeable number, because it can be changed into a prime (26849003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24582 + ... + 25650.

It is an arithmetic number, because the mean of its divisors is an integer number (838880).

Almost surely, 2^26849004 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 26849004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40266240).

26849004 is an abundant number, since it is smaller than the sum of its proper divisors (53683476).

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

26849004 is a wasteful number, since it uses less digits than its factorization.

26849004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 26849004 is about 5181.6024548396. The cubic root of 26849004 is about 299.4397097899.

The spelling of 26849004 in words is "twenty-six million, eight hundred forty-nine thousand, four".