13874600 has 48 divisors (see below), whose sum is σ = 32525820. Its totient is φ = 5504000.

The previous prime is 13874591. The next prime is 13874621. The reversal of 13874600 is 647831.

It can be written as a sum of positive squares in 6 ways, for example, as 12292036 + 1582564 = 3506^2 + 1258^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34400 + ... + 34800.

Almost surely, 2^13874600 is an apocalyptic number.

13874600 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 13874600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262910).

13874600 is an abundant number, since it is smaller than the sum of its proper divisors (18651220).

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

13874600 is a wasteful number, since it uses less digits than its factorization.

13874600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 13874600 is about 3724.8624135664. The cubic root of 13874600 is about 240.2924675241.

The spelling of 13874600 in words is "thirteen million, eight hundred seventy-four thousand, six hundred".