14795680 has 96 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 5391360.

The previous prime is 14795657. The next prime is 14795681. The reversal of 14795680 is 8659741.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (14795681) 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, 94162 + ... + 94318.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 2^14795680 is an apocalyptic number.

14795680 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 14795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

14795680 is an abundant number, since it is smaller than the sum of its proper divisors (23427680).

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

14795680 is a wasteful number, since it uses less digits than its factorization.

14795680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 40.

The square root of 14795680 is about 3846.5153060920. The cubic root of 14795680 is about 245.4963144614.

The spelling of 14795680 in words is "fourteen million, seven hundred ninety-five thousand, six hundred eighty".