13673400 has 96 divisors (see below), whose sum is σ = 45674160. Its totient is φ = 3363840.

The previous prime is 13673383. The next prime is 13673419. The reversal of 13673400 is 437631.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 6924 + ... + 8676.

Almost surely, 2^13673400 is an apocalyptic number.

13673400 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 13673400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22837080).

13673400 is an abundant number, since it is smaller than the sum of its proper divisors (32000760).

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

13673400 is a wasteful number, since it uses less digits than its factorization.

13673400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 24.

The square root of 13673400 is about 3697.7560763252. The cubic root of 13673400 is about 239.1252880914.

It can be divided in two parts, 136 and 73400, that added together give a triangular number (73536 = T₃₈₃).

The spelling of 13673400 in words is "thirteen million, six hundred seventy-three thousand, four hundred".