13432320 has 240 divisors, whose sum is σ = 51706512. Its totient is φ = 3194880.

The previous prime is 13432319. The next prime is 13432327. The reversal of 13432320 is 2323431.

13432320 is a `hidden beast` number, since 1 + 343 + 2 + 320 = 666.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 13432293 and 13432302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13432327) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253414 + ... + 253466.

Almost surely, 2^13432320 is an apocalyptic number.

13432320 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 13432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25853256).

13432320 is an abundant number, since it is smaller than the sum of its proper divisors (38274192).

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

13432320 is a wasteful number, since it uses less digits than its factorization.

13432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 13432320 is about 3665.0129604136. The cubic root of 13432320 is about 237.7115824573.

Adding to 13432320 its reverse (2323431), we get a palindrome (15755751).

Subtracting from 13432320 its reverse (2323431), we obtain a square (11108889 = 3333²).

It can be divided in two parts, 1343 and 2320, that added together give a palindrome (3663).

The spelling of 13432320 in words is "thirteen million, four hundred thirty-two thousand, three hundred twenty".