14213680 has 80 divisors (see below), whose sum is σ = 36247680. Its totient is φ = 5151744.

The previous prime is 14213677. The next prime is 14213687. The reversal of 14213680 is 8631241.

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

It is not an unprimeable number, because it can be changed into a prime (14213687) 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, 82074 + ... + 82246.

It is an arithmetic number, because the mean of its divisors is an integer number (453096).

Almost surely, 2^14213680 is an apocalyptic number.

14213680 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 14213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18123840).

14213680 is an abundant number, since it is smaller than the sum of its proper divisors (22034000).

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

14213680 is a wasteful number, since it uses less digits than its factorization.

14213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 14213680 is about 3770.1034468566. The cubic root of 14213680 is about 242.2342289715.

The spelling of 14213680 in words is "fourteen million, two hundred thirteen thousand, six hundred eighty".