12577560 has 64 divisors (see below), whose sum is σ = 37968480. Its totient is φ = 3333120.

The previous prime is 12577531. The next prime is 12577567. The reversal of 12577560 is 6577521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12577567) 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, 33534 + ... + 33906.

Almost surely, 2^12577560 is an apocalyptic number.

12577560 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 12577560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18984240).

12577560 is an abundant number, since it is smaller than the sum of its proper divisors (25390920).

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

12577560 is a wasteful number, since it uses less digits than its factorization.

12577560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 12577560 is about 3546.4855843497. The cubic root of 12577560 is about 232.5584544895.

The spelling of 12577560 in words is "twelve million, five hundred seventy-seven thousand, five hundred sixty".