13054800 has 240 divisors, whose sum is σ = 48711168. Its totient is φ = 2956800.

The previous prime is 13054799. The next prime is 13054807. The reversal of 13054800 is 845031.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13054807) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 303579 + ... + 303621.

Almost surely, 2^13054800 is an apocalyptic number.

13054800 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 13054800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24355584).

13054800 is an abundant number, since it is smaller than the sum of its proper divisors (35656368).

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

13054800 is a wasteful number, since it uses less digits than its factorization.

13054800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 13054800 is about 3613.1426763968. The cubic root of 13054800 is about 235.4633982811.

Adding to 13054800 its reverse (845031), we get a palindrome (13899831).

It can be divided in two parts, 1305 and 4800, that added together give a triangular number (6105 = T₁₁₀).

The spelling of 13054800 in words is "thirteen million, fifty-four thousand, eight hundred".