13538448 has 240 divisors, whose sum is σ = 50135680. Its totient is φ = 3421440.

The previous prime is 13538429. The next prime is 13538453. The reversal of 13538448 is 84483531.

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

Its product of digits (46080) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 365886 + ... + 365922.

Almost surely, 2^13538448 is an apocalyptic number.

13538448 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 13538448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25067840).

13538448 is an abundant number, since it is smaller than the sum of its proper divisors (36597232).

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

13538448 is a wasteful number, since it uses less digits than its factorization.

13538448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 13538448 is about 3679.4630042983. The cubic root of 13538448 is about 238.3359894510.

It can be divided in two parts, 1353 and 8448, that added together give a square (9801 = 99²).

The spelling of 13538448 in words is "thirteen million, five hundred thirty-eight thousand, four hundred forty-eight".