13482800 has 60 divisors (see below), whose sum is σ = 33304416. Its totient is φ = 5241600.

The previous prime is 13482773. The next prime is 13482811. The reversal of 13482800 is 828431.

It is a self number, because there is not a number n which added to its sum of digits gives 13482800.

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 11 ways as a sum of consecutive naturals, for example, 14345 + ... + 15255.

Almost surely, 2^13482800 is an apocalyptic number.

13482800 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 13482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16652208).

13482800 is an abundant number, since it is smaller than the sum of its proper divisors (19821616).

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

13482800 is a wasteful number, since it uses less digits than its factorization.

13482800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 13482800 is about 3671.8932446355. The cubic root of 13482800 is about 238.0089914923.

The spelling of 13482800 in words is "thirteen million, four hundred eighty-two thousand, eight hundred".