13455648 has 72 divisors (see below), whose sum is σ = 40294800. Its totient is φ = 4247424.

The previous prime is 13455647. The next prime is 13455661. The reversal of 13455648 is 84655431.

It is a happy number.

13455648 is a `hidden beast` number, since 1 + 3 + 4 + 5 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (13455641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4243 + ... + 6701.

It is an arithmetic number, because the mean of its divisors is an integer number (559650).

Almost surely, 2^13455648 is an apocalyptic number.

13455648 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 13455648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20147400).

13455648 is an abundant number, since it is smaller than the sum of its proper divisors (26839152).

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

13455648 is a wasteful number, since it uses less digits than its factorization.

13455648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2483 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 13455648 is about 3668.1941060963. The cubic root of 13455648 is about 237.8491146354.

The spelling of 13455648 in words is "thirteen million, four hundred fifty-five thousand, six hundred forty-eight".