13413600 has 252 divisors, whose sum is σ = 51231096. Its totient is φ = 3421440.

The previous prime is 13413599. The next prime is 13413637. The reversal of 13413600 is 631431.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 41 ways as a sum of consecutive naturals, for example, 583189 + ... + 583211.

It is an arithmetic number, because the mean of its divisors is an integer number (203298).

Almost surely, 2^13413600 is an apocalyptic number.

13413600 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 13413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25615548).

13413600 is an abundant number, since it is smaller than the sum of its proper divisors (37817496).

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

13413600 is an equidigital number, since it uses as much as digits as its factorization.

13413600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 13413600 is about 3662.4581908876. The cubic root of 13413600 is about 237.6011019233.

The spelling of 13413600 in words is "thirteen million, four hundred thirteen thousand, six hundred".