13352400 has 90 divisors (see below), whose sum is σ = 46349030. Its totient is φ = 3559680.

The previous prime is 13352393. The next prime is 13352401. The reversal of 13352400 is 425331.

It can be written as a sum of positive squares in 3 ways, for example, as 219024 + 13133376 = 468^2 + 3624^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13352401) 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, 1746 + ... + 5454.

Almost surely, 2^13352400 is an apocalyptic number.

13352400 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 13352400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23174515).

13352400 is an abundant number, since it is smaller than the sum of its proper divisors (32996630).

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

13352400 is a wasteful number, since it uses less digits than its factorization.

13352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13352400 is about 3654.0935948604. The cubic root of 13352400 is about 237.2391966294.

Adding to 13352400 its reverse (425331), we get a palindrome (13777731).

The spelling of 13352400 in words is "thirteen million, three hundred fifty-two thousand, four hundred".