13798480 has 40 divisors (see below), whose sum is σ = 32299272. Its totient is φ = 5481984.

The previous prime is 13798457. The next prime is 13798483. The reversal of 13798480 is 8489731.

It can be written as a sum of positive squares in 4 ways, for example, as 6594624 + 7203856 = 2568^2 + 2684^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13798483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13342 + ... + 14338.

Almost surely, 2^13798480 is an apocalyptic number.

13798480 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 13798480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149636).

13798480 is an abundant number, since it is smaller than the sum of its proper divisors (18500792).

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

13798480 is a wasteful number, since it uses less digits than its factorization.

13798480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 13798480 is about 3714.6305334447. The cubic root of 13798480 is about 239.8522238427.

The spelling of 13798480 in words is "thirteen million, seven hundred ninety-eight thousand, four hundred eighty".