26849580 has 48 divisors (see below), whose sum is σ = 76312320. Its totient is φ = 7051968.

The previous prime is 26849551. The next prime is 26849593. The reversal of 26849580 is 8594862.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681 + ... + 7359.

It is an arithmetic number, because the mean of its divisors is an integer number (1589840).

Almost surely, 2^26849580 is an apocalyptic number.

26849580 is a gapful number since it is divisible by the number (20) 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 26849580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38156160).

26849580 is an abundant number, since it is smaller than the sum of its proper divisors (49462740).

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

26849580 is a wasteful number, since it uses less digits than its factorization.

26849580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6758 (or 6756 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 26849580 is about 5181.6580358028. The cubic root of 26849580 is about 299.4418510989.

The spelling of 26849580 in words is "twenty-six million, eight hundred forty-nine thousand, five hundred eighty".