13882680 has 144 divisors (see below), whose sum is σ = 52551720. Its totient is φ = 3169152.

The previous prime is 13882657. The next prime is 13882681. The reversal of 13882680 is 8628831.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882681) 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 35 ways as a sum of consecutive naturals, for example, 17247 + ... + 18033.

Almost surely, 2^13882680 is an apocalyptic number.

13882680 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 13882680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26275860).

13882680 is an abundant number, since it is smaller than the sum of its proper divisors (38669040).

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

13882680 is a wasteful number, since it uses less digits than its factorization.

13882680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 13882680 is about 3725.9468595244. The cubic root of 13882680 is about 240.3391039764.

The spelling of 13882680 in words is "thirteen million, eight hundred eighty-two thousand, six hundred eighty".