13882440 has 128 divisors (see below), whose sum is σ = 48988800. Its totient is φ = 3102720.

The previous prime is 13882399. The next prime is 13882447. The reversal of 13882440 is 4428831.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 13882398 and 13882407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13882447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16756 + ... + 17564.

It is an arithmetic number, because the mean of its divisors is an integer number (382725).

Almost surely, 2^13882440 is an apocalyptic number.

13882440 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 13882440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24494400).

13882440 is an abundant number, since it is smaller than the sum of its proper divisors (35106360).

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

13882440 is a wasteful number, since it uses less digits than its factorization.

13882440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 13882440 is about 3725.9146528067. The cubic root of 13882440 is about 240.3377189960.

It can be divided in two parts, 1388 and 2440, that added together give a triangular number (3828 = T₈₇).

The spelling of 13882440 in words is "thirteen million, eight hundred eighty-two thousand, four hundred forty".