84528960 has 112 divisors (see below), whose sum is σ = 270369792. Its totient is φ = 22374400.

The previous prime is 84528959. The next prime is 84529007. The reversal of 84528960 is 6982548.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 183130 + ... + 183590.

It is an arithmetic number, because the mean of its divisors is an integer number (2414016).

Almost surely, 2^84528960 is an apocalyptic number.

84528960 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 84528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135184896).

84528960 is an abundant number, since it is smaller than the sum of its proper divisors (185840832).

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

84528960 is a wasteful number, since it uses less digits than its factorization.

84528960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 84528960 is about 9193.9632368201. The cubic root of 84528960 is about 438.8692730170.

The spelling of 84528960 in words is "eighty-four million, five hundred twenty-eight thousand, nine hundred sixty".