12577080 has 64 divisors (see below), whose sum is σ = 38021760. Its totient is φ = 3328128.

The previous prime is 12577079. The next prime is 12577087. The reversal of 12577080 is 8077521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12577087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19239 + ... + 19881.

It is an arithmetic number, because the mean of its divisors is an integer number (594090).

Almost surely, 2^12577080 is an apocalyptic number.

12577080 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 12577080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19010880).

12577080 is an abundant number, since it is smaller than the sum of its proper divisors (25444680).

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

12577080 is a wasteful number, since it uses less digits than its factorization.

12577080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 30.

The square root of 12577080 is about 3546.4179110759. The cubic root of 12577080 is about 232.5554960599. Note that the first 3 decimals are identical.

The spelling of 12577080 in words is "twelve million, five hundred seventy-seven thousand, eighty".