84525120 has 168 divisors, whose sum is σ = 301776384. Its totient is φ = 22519296.

The previous prime is 84525109. The next prime is 84525137. The reversal of 84525120 is 2152548.

It is a happy number.

It is a super-2 number, since 2×84525120² = 14288991822028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77217 + ... + 78303.

It is an arithmetic number, because the mean of its divisors is an integer number (1796288).

Almost surely, 2^84525120 is an apocalyptic number.

84525120 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 84525120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150888192).

84525120 is an abundant number, since it is smaller than the sum of its proper divisors (217251264).

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

84525120 is a wasteful number, since it uses less digits than its factorization.

84525120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1119 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 84525120 is about 9193.7544017665. The cubic root of 84525120 is about 438.8626272334.

Adding to 84525120 its reverse (2152548), we get a palindrome (86677668).

The spelling of 84525120 in words is "eighty-four million, five hundred twenty-five thousand, one hundred twenty".