26587980 has 96 divisors (see below), whose sum is σ = 84369600. Its totient is φ = 6948864.

The previous prime is 26587969. The next prime is 26587993. The reversal of 26587980 is 8978562.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 28156 + ... + 29084.

It is an arithmetic number, because the mean of its divisors is an integer number (878850).

Almost surely, 2^26587980 is an apocalyptic number.

26587980 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 26587980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42184800).

26587980 is an abundant number, since it is smaller than the sum of its proper divisors (57781620).

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

26587980 is a wasteful number, since it uses less digits than its factorization.

26587980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 26587980 is about 5156.3533626004. The cubic root of 26587980 is about 298.4661712630.

The spelling of 26587980 in words is "twenty-six million, five hundred eighty-seven thousand, nine hundred eighty".