13584960 has 168 divisors, whose sum is σ = 48143160. Its totient is φ = 3514368.

The previous prime is 13584953. The next prime is 13584971. The reversal of 13584960 is 6948531.

13584960 is a `hidden beast` number, since 13 + 584 + 9 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 968256 + 12616704 = 984^2 + 3552^2 .

It is a super-2 number, since 2×13584960² = 369102276403200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 152596 + ... + 152684.

Almost surely, 2^13584960 is an apocalyptic number.

13584960 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 13584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071580).

13584960 is an abundant number, since it is smaller than the sum of its proper divisors (34558200).

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

13584960 is a wasteful number, since it uses less digits than its factorization.

13584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 152 counting only the distinct ones).

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

The square root of 13584960 is about 3685.7780725377. The cubic root of 13584960 is about 238.6086157966.

The spelling of 13584960 in words is "thirteen million, five hundred eighty-four thousand, nine hundred sixty".