114006000 has 80 divisors (see below), whose sum is σ = 367574688. Its totient is φ = 30400000.

The previous prime is 114005987. The next prime is 114006001. The reversal of 114006000 is 600411.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×114006000³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114006001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3501 + ... + 15500.

Almost surely, 2^114006000 is an apocalyptic number.

114006000 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 114006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183787344).

114006000 is an abundant number, since it is smaller than the sum of its proper divisors (253568688).

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

114006000 is a wasteful number, since it uses less digits than its factorization.

114006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19027 (or 19011 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 114006000 is about 10677.3592240778. The cubic root of 114006000 is about 484.8892651147.

Adding to 114006000 its reverse (600411), we get a palindrome (114606411).

The spelling of 114006000 in words is "one hundred fourteen million, six thousand".