26970580 has 144 divisors (see below), whose sum is σ = 74405520. Its totient is φ = 8128512.

The previous prime is 26970577. The next prime is 26970583. The reversal of 26970580 is 8507962.

It is an interprime number because it is at equal distance from previous prime (26970577) and next prime (26970583).

It can be written as a sum of positive squares in 8 ways, for example, as 1285956 + 25684624 = 1134^2 + 5068^2 .

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26970583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369424 + ... + 369496.

It is an arithmetic number, because the mean of its divisors is an integer number (516705).

Almost surely, 2^26970580 is an apocalyptic number.

26970580 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 26970580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37202760).

26970580 is an abundant number, since it is smaller than the sum of its proper divisors (47434940).

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

26970580 is a wasteful number, since it uses less digits than its factorization.

26970580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 26970580 is about 5193.3207102970. The cubic root of 26970580 is about 299.8909974366.

The spelling of 26970580 in words is "twenty-six million, nine hundred seventy thousand, five hundred eighty".