84130816 has 132 divisors (see below), whose sum is σ = 213444784. Its totient is φ = 32440320.

The previous prime is 84130789. The next prime is 84130817. The reversal of 84130816 is 61803148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84130817) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 867280 + ... + 867376.

Almost surely, 2^84130816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106722392).

84130816 is an abundant number, since it is smaller than the sum of its proper divisors (129313968).

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

84130816 is a wasteful number, since it uses less digits than its factorization.

84130816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 31.

The square root of 84130816 is about 9172.2852114399. The cubic root of 84130816 is about 438.1791417778.

The spelling of 84130816 in words is "eighty-four million, one hundred thirty thousand, eight hundred sixteen".