14100680 has 64 divisors (see below), whose sum is σ = 35164800. Its totient is φ = 5045760.

The previous prime is 14100673. The next prime is 14100707. The reversal of 14100680 is 8600141.

14100680 = T₁ + T₂ + ... + T₄₃₈.

14100680 is a nontrivial binomial coefficient, being equal to C(440, 3).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is the 438-th tetrahedral number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31901 + ... + 32339.

It is an arithmetic number, because the mean of its divisors is an integer number (549450).

Almost surely, 2^14100680 is an apocalyptic number.

14100680 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 14100680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17582400).

14100680 is an abundant number, since it is smaller than the sum of its proper divisors (21064120).

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

14100680 is a wasteful number, since it uses less digits than its factorization.

14100680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 14100680 is about 3755.0872160311. The cubic root of 14100680 is about 241.5905925170.

The spelling of 14100680 in words is "fourteen million, one hundred thousand, six hundred eighty".