13520400 has 120 divisors (see below), whose sum is σ = 45666720. Its totient is φ = 3409920.

The previous prime is 13520387. The next prime is 13520411. The reversal of 13520400 is 402531.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 13520400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22504 + ... + 23096.

It is an arithmetic number, because the mean of its divisors is an integer number (380556).

Almost surely, 2^13520400 is an apocalyptic number.

13520400 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 13520400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22833360).

13520400 is an abundant number, since it is smaller than the sum of its proper divisors (32146320).

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

13520400 is a wasteful number, since it uses less digits than its factorization.

13520400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 13520400 is about 3677.0096545971. The cubic root of 13520400 is about 238.2300344016.

Adding to 13520400 its reverse (402531), we get a palindrome (13922931).

The spelling of 13520400 in words is "thirteen million, five hundred twenty thousand, four hundred".