84886560 has 288 divisors, whose sum is σ = 331164288. Its totient is φ = 19599360.

The previous prime is 84886519. The next prime is 84886589. The reversal of 84886560 is 6568848.

84886560 is a `hidden beast` number, since 8 + 4 + 8 + 86 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 364204 + ... + 364436.

It is an arithmetic number, because the mean of its divisors is an integer number (1149876).

Almost surely, 2^84886560 is an apocalyptic number.

84886560 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 84886560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165582144).

84886560 is an abundant number, since it is smaller than the sum of its proper divisors (246277728).

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

84886560 is a wasteful number, since it uses less digits than its factorization.

84886560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 84886560 is about 9213.3902554923. The cubic root of 84886560 is about 439.4872815650.

The spelling of 84886560 in words is "eighty-four million, eight hundred eighty-six thousand, five hundred sixty".