84548560 has 80 divisors (see below), whose sum is σ = 203893200. Its totient is φ = 32583680.

The previous prime is 84548551. The next prime is 84548561. The reversal of 84548560 is 6584548.

It can be written as a sum of positive squares in 8 ways, for example, as 8928144 + 75620416 = 2988^2 + 8696^2 .

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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84548561) by changing a digit.

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, 488634 + ... + 488806.

It is an arithmetic number, because the mean of its divisors is an integer number (2548665).

Almost surely, 2^84548560 is an apocalyptic number.

84548560 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 84548560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101946600).

84548560 is an abundant number, since it is smaller than the sum of its proper divisors (119344640).

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

84548560 is a wasteful number, since it uses less digits than its factorization.

84548560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 40.

The square root of 84548560 is about 9195.0290918517. The cubic root of 84548560 is about 438.9031910690.

The spelling of 84548560 in words is "eighty-four million, five hundred forty-eight thousand, five hundred sixty".