14120064 has 192 divisors, whose sum is σ = 49645440. Its totient is φ = 3760128.

The previous prime is 14120063. The next prime is 14120083. The reversal of 14120064 is 46002141.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (14120063) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 137037 + ... + 137139.

It is an arithmetic number, because the mean of its divisors is an integer number (258570).

Almost surely, 2^14120064 is an apocalyptic number.

14120064 is a gapful number since it is divisible by the number (14) 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 14120064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24822720).

14120064 is an abundant number, since it is smaller than the sum of its proper divisors (35525376).

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

14120064 is a wasteful number, since it uses less digits than its factorization.

14120064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14120064 is about 3757.6673615423. The cubic root of 14120064 is about 241.7012455211.

The spelling of 14120064 in words is "fourteen million, one hundred twenty thousand, sixty-four".