14642880 has 112 divisors (see below), whose sum is σ = 53157120. Its totient is φ = 3345408.

The previous prime is 14642869. The next prime is 14642891. The reversal of 14642880 is 8824641.

It is an interprime number because it is at equal distance from previous prime (14642869) and next prime (14642891).

It is a tau number, because it is divible by the number of its divisors (112).

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, 5631 + ... + 7809.

Almost surely, 2^14642880 is an apocalyptic number.

14642880 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 14642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26578560).

14642880 is an abundant number, since it is smaller than the sum of its proper divisors (38514240).

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

14642880 is a wasteful number, since it uses less digits than its factorization.

14642880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2196 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 14642880 is about 3826.6016254635. The cubic root of 14642880 is about 244.6482805452.

The spelling of 14642880 in words is "fourteen million, six hundred forty-two thousand, eight hundred eighty".