13878414 has 48 divisors (see below), whose sum is σ = 33948720. Its totient is φ = 4058880.

The previous prime is 13878413. The next prime is 13878419. The reversal of 13878414 is 41487831.

13878414 = T₄₅₂ + T₄₅₃ + ... + T₅₅₉.

13878414 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13878414² = 385220750310792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13878413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4534 + ... + 6950.

It is an arithmetic number, because the mean of its divisors is an integer number (707265).

Almost surely, 2^13878414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13878414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16974360).

13878414 is an abundant number, since it is smaller than the sum of its proper divisors (20070306).

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

13878414 is a wasteful number, since it uses less digits than its factorization.

13878414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2465 (or 2462 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 13878414 is about 3725.3743436063. The cubic root of 13878414 is about 240.3144835704.

It can be divided in two parts, 1387 and 8414, that added together give a square (9801 = 99²).

The spelling of 13878414 in words is "thirteen million, eight hundred seventy-eight thousand, four hundred fourteen".