13291488 has 144 divisors (see below), whose sum is σ = 45601920. Its totient is φ = 3587328.

The previous prime is 13291477. The next prime is 13291511. The reversal of 13291488 is 88419231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 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, 38131 + ... + 38477.

It is an arithmetic number, because the mean of its divisors is an integer number (316680).

Almost surely, 2^13291488 is an apocalyptic number.

13291488 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 13291488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22800960).

13291488 is an abundant number, since it is smaller than the sum of its proper divisors (32310432).

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

13291488 is a wasteful number, since it uses less digits than its factorization.

13291488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its digits is 13824, while the sum is 36.

The square root of 13291488 is about 3645.7493056983. The cubic root of 13291488 is about 236.8778946929.

The spelling of 13291488 in words is "thirteen million, two hundred ninety-one thousand, four hundred eighty-eight".