14900832 has 72 divisors (see below), whose sum is σ = 43767360. Its totient is φ = 4803840.

The previous prime is 14900819. The next prime is 14900839. The reversal of 14900832 is 23800941.

14900832 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 14900796 and 14900805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14900839) 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, 8094 + ... + 9762.

It is an arithmetic number, because the mean of its divisors is an integer number (607880).

Almost surely, 2^14900832 is an apocalyptic number.

14900832 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 14900832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21883680).

14900832 is an abundant number, since it is smaller than the sum of its proper divisors (28866528).

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

14900832 is a wasteful number, since it uses less digits than its factorization.

14900832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1716 (or 1705 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 14900832 is about 3860.1595821935. The cubic root of 14900832 is about 246.0765179378.

The spelling of 14900832 in words is "fourteen million, nine hundred thousand, eight hundred thirty-two".