13874100 has 72 divisors (see below), whose sum is σ = 40622400. Its totient is φ = 3655680.

The previous prime is 13874089. The next prime is 13874117. The reversal of 13874100 is 147831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30676 + ... + 31124.

It is an arithmetic number, because the mean of its divisors is an integer number (564200).

Almost surely, 2^13874100 is an apocalyptic number.

13874100 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 13874100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20311200).

13874100 is an abundant number, since it is smaller than the sum of its proper divisors (26748300).

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

13874100 is a wasteful number, since it uses less digits than its factorization.

13874100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 13874100 is about 3724.7952963888. The cubic root of 13874100 is about 240.2895810102.

The spelling of 13874100 in words is "thirteen million, eight hundred seventy-four thousand, one hundred".