13540800 has 336 divisors, whose sum is σ = 56440832. Its totient is φ = 2764800.

The previous prime is 13540799. The next prime is 13540801. The reversal of 13540800 is 804531.

13540800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13540799) and next prime (13540801).

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13540801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 436785 + ... + 436815.

Almost surely, 2^13540800 is an apocalyptic number.

13540800 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 13540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28220416).

13540800 is an abundant number, since it is smaller than the sum of its proper divisors (42900032).

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

13540800 is a wasteful number, since it uses less digits than its factorization.

13540800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 61 counting only the distinct ones).

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

The square root of 13540800 is about 3679.7826022742. The cubic root of 13540800 is about 238.3497904861.

The spelling of 13540800 in words is "thirteen million, five hundred forty thousand, eight hundred".