13674100 has 72 divisors (see below), whose sum is σ = 33497856. Its totient is φ = 4800000.

The previous prime is 13674079. The next prime is 13674113. The reversal of 13674100 is 147631.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33900 + ... + 34300.

It is an arithmetic number, because the mean of its divisors is an integer number (465248).

Almost surely, 2^13674100 is an apocalyptic number.

13674100 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 13674100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16748928).

13674100 is an abundant number, since it is smaller than the sum of its proper divisors (19823756).

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

13674100 is a wasteful number, since it uses less digits than its factorization.

13674100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13674100 is about 3697.8507271116. The cubic root of 13674100 is about 239.1293686382.

The spelling of 13674100 in words is "thirteen million, six hundred seventy-four thousand, one hundred".