13815648 has 216 divisors, whose sum is σ = 50417640. Its totient is φ = 3548160.

The previous prime is 13815643. The next prime is 13815649. The reversal of 13815648 is 84651831.

13815648 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 5 + 648 = 666.

13815648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13815648³ (a number of 22 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13815643) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 155188 + ... + 155276.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 2^13815648 is an apocalyptic number.

13815648 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 13815648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25208820).

13815648 is an abundant number, since it is smaller than the sum of its proper divisors (36601992).

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

13815648 is a wasteful number, since it uses less digits than its factorization.

13815648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 112 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 13815648 is about 3716.9406774927. The cubic root of 13815648 is about 239.9516569296.

The spelling of 13815648 in words is "thirteen million, eight hundred fifteen thousand, six hundred forty-eight".