13615488 has 96 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 4432896.

The previous prime is 13615451. The next prime is 13615493. The reversal of 13615488 is 88451631.

13615488 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60945 + ... + 61167.

It is an arithmetic number, because the mean of its divisors is an integer number (417690).

Almost surely, 2^13615488 is an apocalyptic number.

13615488 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 13615488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

13615488 is an abundant number, since it is smaller than the sum of its proper divisors (26482752).

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

13615488 is a wasteful number, since it uses less digits than its factorization.

13615488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

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

The square root of 13615488 is about 3689.9170722389. The cubic root of 13615488 is about 238.7872151266.

The spelling of 13615488 in words is "thirteen million, six hundred fifteen thousand, four hundred eighty-eight".