14485632 has 128 divisors (see below), whose sum is σ = 46707840. Its totient is φ = 3883008.

The previous prime is 14485613. The next prime is 14485637. The reversal of 14485632 is 23658441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 14485593 and 14485602.

It is not an unprimeable number, because it can be changed into a prime (14485637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45538 + ... + 45854.

It is an arithmetic number, because the mean of its divisors is an integer number (364905).

Almost surely, 2^14485632 is an apocalyptic number.

14485632 is a gapful number since it is divisible by the number (12) 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 14485632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23353920).

14485632 is an abundant number, since it is smaller than the sum of its proper divisors (32222208).

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

14485632 is a wasteful number, since it uses less digits than its factorization.

14485632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 14485632 is about 3805.9994745139. Note that the first 3 decimals coincide. The cubic root of 14485632 is about 243.7693780781.

The spelling of 14485632 in words is "fourteen million, four hundred eighty-five thousand, six hundred thirty-two".