84114000 has 120 divisors (see below), whose sum is σ = 293845032. Its totient is φ = 22425600.

The previous prime is 84113959. The next prime is 84114029. The reversal of 84114000 is 41148.

It can be written as a sum of positive squares in 4 ways, for example, as 501264 + 83612736 = 708^2 + 9144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable 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 23 ways as a sum of consecutive naturals, for example, 15664 + ... + 20336.

Almost surely, 2^84114000 is an apocalyptic number.

84114000 is a gapful number since it is divisible by the number (80) 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 84114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146922516).

84114000 is an abundant number, since it is smaller than the sum of its proper divisors (209731032).

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

84114000 is a wasteful number, since it uses less digits than its factorization.

84114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4683 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 84114000 is about 9171.3684911250. The cubic root of 84114000 is about 438.1499455340.

Adding to 84114000 its reverse (41148), we get a palindrome (84155148).

It can be divided in two parts, 841 and 14000, that added together give a palindrome (14841).

The spelling of 84114000 in words is "eighty-four million, one hundred fourteen thousand".