13482600 has 96 divisors (see below), whose sum is σ = 43657920. Its totient is φ = 3435520.

The previous prime is 13482587. The next prime is 13482641. The reversal of 13482600 is 628431.

It is a happy number.

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

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 23 ways as a sum of consecutive naturals, for example, 13312 + ... + 14288.

It is an arithmetic number, because the mean of its divisors is an integer number (454770).

Almost surely, 2^13482600 is an apocalyptic number.

13482600 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 13482600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21828960).

13482600 is an abundant number, since it is smaller than the sum of its proper divisors (30175320).

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

13482600 is a wasteful number, since it uses less digits than its factorization.

13482600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 13482600 is about 3671.8660106273. The cubic root of 13482600 is about 238.0078146341.

The spelling of 13482600 in words is "thirteen million, four hundred eighty-two thousand, six hundred".