13653948 has 72 divisors (see below), whose sum is σ = 40449024. Its totient is φ = 3544800.

The previous prime is 13653929. The next prime is 13653967. The reversal of 13653948 is 84935631.

It is an interprime number because it is at equal distance from previous prime (13653929) and next prime (13653967).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5413 + ... + 7523.

It is an arithmetic number, because the mean of its divisors is an integer number (561792).

Almost surely, 2^13653948 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13653948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20224512).

13653948 is an abundant number, since it is smaller than the sum of its proper divisors (26795076).

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

13653948 is a wasteful number, since it uses less digits than its factorization.

13653948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2143 (or 2134 counting only the distinct ones).

The product of its digits is 77760, while the sum is 39.

The square root of 13653948 is about 3695.1248964007. The cubic root of 13653948 is about 239.0118397757.

The spelling of 13653948 in words is "thirteen million, six hundred fifty-three thousand, nine hundred forty-eight".