12577248 has 48 divisors (see below), whose sum is σ = 36686160. Its totient is φ = 4192128.

The previous prime is 12577237. The next prime is 12577277. The reversal of 12577248 is 84277521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6415 + ... + 8142.

It is an arithmetic number, because the mean of its divisors is an integer number (764295).

Almost surely, 2^12577248 is an apocalyptic number.

12577248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12577248 is an abundant number, since it is smaller than the sum of its proper divisors (24108912).

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

12577248 is a wasteful number, since it uses less digits than its factorization.

12577248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14576 (or 14562 counting only the distinct ones).

The product of its digits is 31360, while the sum is 36.

The square root of 12577248 is about 3546.4415968686. The cubic root of 12577248 is about 232.5565315188.

The spelling of 12577248 in words is "twelve million, five hundred seventy-seven thousand, two hundred forty-eight".