13598640 has 240 divisors, whose sum is σ = 53273376. Its totient is φ = 3072000.

The previous prime is 13598639. The next prime is 13598653. The reversal of 13598640 is 4689531.

13598640 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 8 + 640 = 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 13598595 and 13598604.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134590 + ... + 134690.

Almost surely, 2^13598640 is an apocalyptic number.

13598640 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 13598640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26636688).

13598640 is an abundant number, since it is smaller than the sum of its proper divisors (39674736).

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

13598640 is a wasteful number, since it uses less digits than its factorization.

13598640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 13598640 is about 3687.6333874180. The cubic root of 13598640 is about 238.6886815656.

It can be divided in two parts, 1359 and 8640, that added together give a palindrome (9999).

The spelling of 13598640 in words is "thirteen million, five hundred ninety-eight thousand, six hundred forty".