13478760 has 48 divisors (see below), whose sum is σ = 43807140. Its totient is φ = 3594240.

The previous prime is 13478747. The next prime is 13478761. The reversal of 13478760 is 6787431.

It can be written as a sum of positive squares in 2 ways, for example, as 13439556 + 39204 = 3666^2 + 198^2 .

It is a super-2 number, since 2×13478760² = 363353942275200, which contains 22 as substring.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13478761) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 18361 + ... + 19080.

Almost surely, 2^13478760 is an apocalyptic number.

13478760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13478760 is an abundant number, since it is smaller than the sum of its proper divisors (30328380).

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

13478760 is a wasteful number, since it uses less digits than its factorization.

13478760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37458 (or 37451 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13478760 is about 3671.3430784932. The cubic root of 13478760 is about 237.9852166982.

The spelling of 13478760 in words is "thirteen million, four hundred seventy-eight thousand, seven hundred sixty".