13798960 has 80 divisors (see below), whose sum is σ = 37622592. Its totient is φ = 4608000.

The previous prime is 13798949. The next prime is 13798963. The reversal of 13798960 is 6989731.

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

It is a super-2 number, since 2×13798960² = 380822594163200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13798963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22660 + ... + 23260.

Almost surely, 2^13798960 is an apocalyptic number.

13798960 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 13798960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18811296).

13798960 is an abundant number, since it is smaller than the sum of its proper divisors (23823632).

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

13798960 is a wasteful number, since it uses less digits than its factorization.

13798960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 43.

The square root of 13798960 is about 3714.6951422694. The cubic root of 13798960 is about 239.8550050121.

The spelling of 13798960 in words is "thirteen million, seven hundred ninety-eight thousand, nine hundred sixty".