14419680 has 96 divisors (see below), whose sum is σ = 49569408. Its totient is φ = 3494400.

The previous prime is 14419667. The next prime is 14419687. The reversal of 14419680 is 8691441.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14419687) 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, 3915 + ... + 6645.

It is an arithmetic number, because the mean of its divisors is an integer number (516348).

Almost surely, 2^14419680 is an apocalyptic number.

14419680 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 14419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24784704).

14419680 is an abundant number, since it is smaller than the sum of its proper divisors (35149728).

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

14419680 is a wasteful number, since it uses less digits than its factorization.

14419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2760 (or 2752 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 14419680 is about 3797.3253745235. The cubic root of 14419680 is about 243.3988606078.

The spelling of 14419680 in words is "fourteen million, four hundred nineteen thousand, six hundred eighty".