13553800 has 72 divisors (see below), whose sum is σ = 34208190. Its totient is φ = 4992000.

The previous prime is 13553779. The next prime is 13553801. The reversal of 13553800 is 835531.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 550564 + 13003236 = 742^2 + 3606^2 .

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

It is not an unprimeable number, because it can be changed into a prime (13553801) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 33600 + ... + 34000.

Almost surely, 2^13553800 is an apocalyptic number.

13553800 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 13553800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17104095).

13553800 is an abundant number, since it is smaller than the sum of its proper divisors (20654390).

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

13553800 is a wasteful number, since it uses less digits than its factorization.

13553800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 13553800 is about 3681.5485872116. The cubic root of 13553800 is about 238.4260429037.

It can be divided in two parts, 135 and 53800, that added together give a palindrome (53935).

The spelling of 13553800 in words is "thirteen million, five hundred fifty-three thousand, eight hundred".