13813488 has 120 divisors (see below), whose sum is σ = 42788928. Its totient is φ = 4133376.

The previous prime is 13813487. The next prime is 13813517. The reversal of 13813488 is 88431831.

13813488 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-2 number, since 2×13813488² = 381624901452288, which contains 22 as substring.

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

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 (13813487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87906 + ... + 88062.

Almost surely, 2^13813488 is an apocalyptic number.

13813488 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 13813488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21394464).

13813488 is an abundant number, since it is smaller than the sum of its proper divisors (28975440).

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

13813488 is a wasteful number, since it uses less digits than its factorization.

13813488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 222 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 13813488 is about 3716.6501045969. The cubic root of 13813488 is about 239.9391512406.

The spelling of 13813488 in words is "thirteen million, eight hundred thirteen thousand, four hundred eighty-eight".