84531120 has 80 divisors (see below), whose sum is σ = 268173312. Its totient is φ = 22014720.

The previous prime is 84531113. The next prime is 84531121. The reversal of 84531120 is 2113548.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (84531121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6225 + ... + 14415.

Almost surely, 2^84531120 is an apocalyptic number.

84531120 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 84531120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134086656).

84531120 is an abundant number, since it is smaller than the sum of its proper divisors (183642192).

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

84531120 is a wasteful number, since it uses less digits than its factorization.

84531120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8250 (or 8244 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 84531120 is about 9194.0807044533. The cubic root of 84531120 is about 438.8730111818.

Adding to 84531120 its reverse (2113548), we get a palindrome (86644668).

The spelling of 84531120 in words is "eighty-four million, five hundred thirty-one thousand, one hundred twenty".