14073642 has 128 divisors (see below), whose sum is σ = 38016000. Its totient is φ = 3810240.

The previous prime is 14073641. The next prime is 14073649. The reversal of 14073642 is 24637041.

14073642 is a `hidden beast` number, since 14 + 0 + 7 + 3 + 642 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14073641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 327273 + ... + 327315.

It is an arithmetic number, because the mean of its divisors is an integer number (297000).

Almost surely, 2^14073642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14073642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008000).

14073642 is an abundant number, since it is smaller than the sum of its proper divisors (23942358).

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

14073642 is a wasteful number, since it uses less digits than its factorization.

14073642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 14073642 is about 3751.4853058489. The cubic root of 14073642 is about 241.4360773683.

The spelling of 14073642 in words is "fourteen million, seventy-three thousand, six hundred forty-two".