13483600 has 60 divisors (see below), whose sum is σ = 34899676. Its totient is φ = 4976640.

The previous prime is 13483537. The next prime is 13483607. The reversal of 13483600 is 638431.

It can be written as a sum of positive squares in 6 ways, for example, as 1065024 + 12418576 = 1032^2 + 3524^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483607) by changing a digit.

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, 3904 + ... + 6496.

Almost surely, 2^13483600 is an apocalyptic number.

13483600 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 13483600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17449838).

13483600 is an abundant number, since it is smaller than the sum of its proper divisors (21416076).

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

13483600 is a wasteful number, since it uses less digits than its factorization.

13483600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624 (or 2613 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 13483600 is about 3672.0021786486. The cubic root of 13483600 is about 238.0136988090.

The spelling of 13483600 in words is "thirteen million, four hundred eighty-three thousand, six hundred".