84960512 has 108 divisors (see below), whose sum is σ = 212860116. Its totient is φ = 33546240.

The previous prime is 84960511. The next prime is 84960541. The reversal of 84960512 is 21506948.

It can be written as a sum of positive squares in 2 ways, for example, as 18113536 + 66846976 = 4256^2 + 8176^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84960511) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 162812 + ... + 163332.

It is an arithmetic number, because the mean of its divisors is an integer number (1970927).

Almost surely, 2^84960512 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 84960512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106430058).

84960512 is an abundant number, since it is smaller than the sum of its proper divisors (127899604).

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

84960512 is a wasteful number, since it uses less digits than its factorization.

84960512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 84960512 is about 9217.4026710348. The cubic root of 84960512 is about 439.6148696067.

The spelling of 84960512 in words is "eighty-four million, nine hundred sixty thousand, five hundred twelve".