13876500 has 144 divisors (see below), whose sum is σ = 45654336. Its totient is φ = 3248000.

The previous prime is 13876493. The next prime is 13876501. The reversal of 13876500 is 567831.

13876500 = T₂₇₁ + T₂₇₂ + ... + T₄₆₈.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13876501) 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 47 ways as a sum of consecutive naturals, for example, 478486 + ... + 478514.

It is an arithmetic number, because the mean of its divisors is an integer number (317044).

Almost surely, 2^13876500 is an apocalyptic number.

13876500 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 13876500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22827168).

13876500 is an abundant number, since it is smaller than the sum of its proper divisors (31777836).

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

13876500 is a wasteful number, since it uses less digits than its factorization.

13876500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 13876500 is about 3725.1174478129. The cubic root of 13876500 is about 240.3034356445.

It can be divided in two parts, 1387 and 6500, that added together give a palindrome (7887).

The spelling of 13876500 in words is "thirteen million, eight hundred seventy-six thousand, five hundred".