12631248 has 80 divisors (see below), whose sum is σ = 41445760. Its totient is φ = 3608064.

The previous prime is 12631237. The next prime is 12631261. The reversal of 12631248 is 84213621.

12631248 is a `hidden beast` number, since 1 + 2 + 631 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 936 + ... + 5112.

It is an arithmetic number, because the mean of its divisors is an integer number (518072).

Almost surely, 2^12631248 is an apocalyptic number.

12631248 is a gapful number since it is divisible by the number (18) 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 12631248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20722880).

12631248 is an abundant number, since it is smaller than the sum of its proper divisors (28814512).

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

12631248 is a wasteful number, since it uses less digits than its factorization.

12631248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4201 (or 4189 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 12631248 is about 3554.0467076278. The cubic root of 12631248 is about 232.8888809305. Note that the first 5 decimals are identical.

Adding to 12631248 its reverse (84213621), we get a palindrome (96844869).

The spelling of 12631248 in words is "twelve million, six hundred thirty-one thousand, two hundred forty-eight".