12577980 has 48 divisors (see below), whose sum is σ = 36084384. Its totient is φ = 3271680.

The previous prime is 12577969. The next prime is 12577991. The reversal of 12577980 is 8977521.

It is an interprime number because it is at equal distance from previous prime (12577969) and next prime (12577991).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97 + ... + 5016.

It is an arithmetic number, because the mean of its divisors is an integer number (751758).

Almost surely, 2^12577980 is an apocalyptic number.

12577980 is a gapful number since it is divisible by the number (10) 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 12577980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18042192).

12577980 is an abundant number, since it is smaller than the sum of its proper divisors (23506404).

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

12577980 is a wasteful number, since it uses less digits than its factorization.

12577980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5166 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 12577980 is about 3546.5447974049. The cubic root of 12577980 is about 232.5610430537.

The spelling of 12577980 in words is "twelve million, five hundred seventy-seven thousand, nine hundred eighty".