14535648 has 72 divisors (see below), whose sum is σ = 42378336. Its totient is φ = 4723200.

The previous prime is 14535637. The next prime is 14535649. The reversal of 14535648 is 84653541.

It is a happy number.

14535648 is a `hidden beast` number, since 1 + 4 + 5 + 3 + 5 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×14535648² = 422570125559808, 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 not an unprimeable number, because it can be changed into a prime (14535649) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11193 + ... + 12423.

It is an arithmetic number, because the mean of its divisors is an integer number (588588).

Almost surely, 2^14535648 is an apocalyptic number.

14535648 is a gapful number since it is divisible by the number (18) 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 14535648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21189168).

14535648 is an abundant number, since it is smaller than the sum of its proper divisors (27842688).

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

14535648 is a wasteful number, since it uses less digits than its factorization.

14535648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288 (or 1277 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 14535648 is about 3812.5644912578. The cubic root of 14535648 is about 244.0496181455.

The spelling of 14535648 in words is "fourteen million, five hundred thirty-five thousand, six hundred forty-eight".