14076000 has 288 divisors, whose sum is σ = 55194048. Its totient is φ = 3379200.

The previous prime is 14075989. The next prime is 14076001. The reversal of 14076000 is 67041.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14076001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 611989 + ... + 612011.

It is an arithmetic number, because the mean of its divisors is an integer number (191646).

Almost surely, 2^14076000 is an apocalyptic number.

14076000 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 14076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024).

14076000 is an abundant number, since it is smaller than the sum of its proper divisors (41118048).

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

14076000 is a wasteful number, since it uses less digits than its factorization.

14076000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 14076000 is about 3751.7995682072. The cubic root of 14076000 is about 241.4495605988.

The spelling of 14076000 in words is "fourteen million, seventy-six thousand".