13795760 has 80 divisors (see below), whose sum is σ = 35703072. Its totient is φ = 4915200.

The previous prime is 13795757. The next prime is 13795787. The reversal of 13795760 is 6759731.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53552 + ... + 53808.

Almost surely, 2^13795760 is an apocalyptic number.

13795760 is a gapful number since it is divisible by the number (10) 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 13795760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17851536).

13795760 is an abundant number, since it is smaller than the sum of its proper divisors (21907312).

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

13795760 is a wasteful number, since it uses less digits than its factorization.

13795760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 39690, while the sum is 38.

The square root of 13795760 is about 3714.2643955432. The cubic root of 13795760 is about 239.8364626641.

The spelling of 13795760 in words is "thirteen million, seven hundred ninety-five thousand, seven hundred sixty".