84130000 has 100 divisors (see below), whose sum is σ = 209183040. Its totient is φ = 32752000.

The previous prime is 84129949. The next prime is 84130003. The reversal of 84130000 is 3148.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84130003) 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 19 ways as a sum of consecutive naturals, for example, 469911 + ... + 470089.

Almost surely, 2^84130000 is an apocalyptic number.

84130000 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 84130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104591520).

84130000 is an abundant number, since it is smaller than the sum of its proper divisors (125053040).

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

84130000 is a wasteful number, since it uses less digits than its factorization.

84130000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 84130000 is about 9172.2407295055. The cubic root of 84130000 is about 438.1777251136.

Adding to 84130000 its reverse (3148), we get a palindrome (84133148).

The spelling of 84130000 in words is "eighty-four million, one hundred thirty thousand".