13122648 has 160 divisors (see below), whose sum is σ = 45999360. Its totient is φ = 3395520.

The previous prime is 13122647. The next prime is 13122653. The reversal of 13122648 is 84622131.

13122648 is a `hidden beast` number, since 1 + 3 + 12 + 2 + 648 = 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 not an unprimeable number, because it can be changed into a prime (13122647) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49765 + ... + 50027.

It is an arithmetic number, because the mean of its divisors is an integer number (287496).

Almost surely, 2^13122648 is an apocalyptic number.

13122648 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 13122648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22999680).

13122648 is an abundant number, since it is smaller than the sum of its proper divisors (32876712).

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

13122648 is a wasteful number, since it uses less digits than its factorization.

13122648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 286 counting only the distinct ones).

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

The square root of 13122648 is about 3622.5195651646. The cubic root of 13122648 is about 235.8706079947.

Adding to 13122648 its reverse (84622131), we get a palindrome (97744779).

It can be divided in two parts, 13122 and 648, that multiplied together give a 4-th power (8503056 = 54⁴).

The spelling of 13122648 in words is "thirteen million, one hundred twenty-two thousand, six hundred forty-eight".