14641680 has 40 divisors (see below), whose sum is σ = 45389952. Its totient is φ = 3904384.

The previous prime is 14641673. The next prime is 14641681. The reversal of 14641680 is 8614641.

14641680 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Smith number, since the sum of its digits (30) 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 (30).

It is not an unprimeable number, because it can be changed into a prime (14641681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30264 + ... + 30743.

Almost surely, 2^14641680 is an apocalyptic number.

14641680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14641680 is an abundant number, since it is smaller than the sum of its proper divisors (30748272).

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

14641680 is a wasteful number, since it uses less digits than its factorization.

14641680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61023 (or 61017 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14641680 is about 3826.4448251608. Note that the first 3 decimals coincide. The cubic root of 14641680 is about 244.6415972981.

The spelling of 14641680 in words is "fourteen million, six hundred forty-one thousand, six hundred eighty".