13795488 has 96 divisors (see below), whose sum is σ = 46005120. Its totient is φ = 3939840.

The previous prime is 13795477. The next prime is 13795531. The reversal of 13795488 is 88459731.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4908 + ... + 7188.

It is an arithmetic number, because the mean of its divisors is an integer number (479220).

Almost surely, 2^13795488 is an apocalyptic number.

13795488 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 13795488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23002560).

13795488 is an abundant number, since it is smaller than the sum of its proper divisors (32209632).

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

13795488 is a wasteful number, since it uses less digits than its factorization.

13795488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2293 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The square root of 13795488 is about 3714.2277797680. The cubic root of 13795488 is about 239.8348864323.

The spelling of 13795488 in words is "thirteen million, seven hundred ninety-five thousand, four hundred eighty-eight".