14648880 has 80 divisors (see below), whose sum is σ = 46139904. Its totient is φ = 3843840.

The previous prime is 14648863. The next prime is 14648897. The reversal of 14648880 is 8884641.

14648880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14648863) and next prime (14648897).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15625 + ... + 16535.

Almost surely, 2^14648880 is an apocalyptic number.

14648880 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 14648880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23069952).

14648880 is an abundant number, since it is smaller than the sum of its proper divisors (31491024).

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

14648880 is a wasteful number, since it uses less digits than its factorization.

14648880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 994 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 39.

The square root of 14648880 is about 3827.3855306201. The cubic root of 14648880 is about 244.6816913049.

The spelling of 14648880 in words is "fourteen million, six hundred forty-eight thousand, eight hundred eighty".