13643880 has 64 divisors (see below), whose sum is σ = 41567040. Its totient is φ = 3581952.

The previous prime is 13643879. The next prime is 13643921. The reversal of 13643880 is 8834631.

It is a super-2 number, since 2×13643880² = 372310922908800, which contains 22 as substring.

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, 7192 + ... + 8888.

It is an arithmetic number, because the mean of its divisors is an integer number (649485).

Almost surely, 2^13643880 is an apocalyptic number.

13643880 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 13643880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20783520).

13643880 is an abundant number, since it is smaller than the sum of its proper divisors (27923160).

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

13643880 is a wasteful number, since it uses less digits than its factorization.

13643880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 13643880 is about 3693.7623096242. The cubic root of 13643880 is about 238.9530786783.

Subtracting from 13643880 its reverse (8834631), we obtain a square (4809249 = 2193²).

The spelling of 13643880 in words is "thirteen million, six hundred forty-three thousand, eight hundred eighty".