84085760 has 88 divisors (see below), whose sum is σ = 220191696. Its totient is φ = 30556160.

The previous prime is 84085759. The next prime is 84085789. The reversal of 84085760 is 6758048.

It is a tau number, because it is divible by the number of its divisors (88).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55574 + ... + 57066.

Almost surely, 2^84085760 is an apocalyptic number.

84085760 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 84085760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110095848).

84085760 is an abundant number, since it is smaller than the sum of its proper divisors (136105936).

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

84085760 is a wasteful number, since it uses less digits than its factorization.

84085760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1511 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 84085760 is about 9169.8287879327. The cubic root of 84085760 is about 438.1009059788.

The spelling of 84085760 in words is "eighty-four million, eighty-five thousand, seven hundred sixty".