14638080 has 88 divisors (see below), whose sum is σ = 46868112. Its totient is φ = 3899392.

The previous prime is 14638079. The next prime is 14638081. The reversal of 14638080 is 8083641.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (14638079) and next prime (14638081).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14638081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14884 + ... + 15836.

Almost surely, 2^14638080 is an apocalyptic number.

14638080 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 14638080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23434056).

14638080 is an abundant number, since it is smaller than the sum of its proper divisors (32230032).

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

14638080 is an equidigital number, since it uses as much as digits as its factorization.

14638080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14638080 is about 3825.9743856958. The cubic root of 14638080 is about 244.6215453655.

It can be divided in two parts, 146 and 38080, that added together give a triangular number (38226 = T₂₇₆).

The spelling of 14638080 in words is "fourteen million, six hundred thirty-eight thousand, eighty".