13876000 has 48 divisors (see below), whose sum is σ = 34103160. Its totient is φ = 5548800.

The previous prime is 13875989. The next prime is 13876001. The reversal of 13876000 is 67831.

13876000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 944784 + 12931216 = 972^2 + 3596^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (13876001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2266 + ... + 5734.

Almost surely, 2^13876000 is an apocalyptic number.

13876000 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 13876000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17051580).

13876000 is an abundant number, since it is smaller than the sum of its proper divisors (20227160).

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

13876000 is an equidigital number, since it uses as much as digits as its factorization.

13876000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3494 (or 3476 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13876000 is about 3725.0503352304. The cubic root of 13876000 is about 240.3005493941.

The spelling of 13876000 in words is "thirteen million, eight hundred seventy-six thousand".