13877864 has 64 divisors (see below), whose sum is σ = 34957440. Its totient is φ = 4988160.

The previous prime is 13877833. The next prime is 13877879. The reversal of 13877864 is 46877831.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 7142 + ... + 8874.

It is an arithmetic number, because the mean of its divisors is an integer number (546210).

Almost surely, 2^13877864 is an apocalyptic number.

13877864 is a gapful number since it is divisible by the number (14) 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 13877864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17478720).

13877864 is an abundant number, since it is smaller than the sum of its proper divisors (21079576).

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

13877864 is a wasteful number, since it uses less digits than its factorization.

13877864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1770 (or 1766 counting only the distinct ones).

The product of its digits is 225792, while the sum is 44.

The square root of 13877864 is about 3725.3005247899. The cubic root of 13877864 is about 240.3113089830.

Multiplying 13877864 by its sum of digits (44), we get a palindrome (610626016).

It can be divided in two parts, 13877 and 864, that added together give a palindrome (14741).

The spelling of 13877864 in words is "thirteen million, eight hundred seventy-seven thousand, eight hundred sixty-four".