13627880 has 96 divisors (see below), whose sum is σ = 37859400. Its totient is φ = 4386816.

The previous prime is 13627847. The next prime is 13627907. The reversal of 13627880 is 8872631.

It can be written as a sum of positive squares in 4 ways, for example, as 13557124 + 70756 = 3682^2 + 266^2 .

It is a super-2 number, since 2×13627880² = 371438226588800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 13627880.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33116 + ... + 33524.

Almost surely, 2^13627880 is an apocalyptic number.

13627880 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 13627880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18929700).

13627880 is an abundant number, since it is smaller than the sum of its proper divisors (24231520).

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

13627880 is a wasteful number, since it uses less digits than its factorization.

13627880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 13627880 is about 3691.5958608710. The cubic root of 13627880 is about 238.8596364237.

The spelling of 13627880 in words is "thirteen million, six hundred twenty-seven thousand, eight hundred eighty".