84855680 has 256 divisors, whose sum is σ = 263208960. Its totient is φ = 25436160.

The previous prime is 84855679. The next prime is 84855713. The reversal of 84855680 is 8655848.

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 31 ways as a sum of consecutive naturals, for example, 1805417 + ... + 1805463.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 2^84855680 is an apocalyptic number.

84855680 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 84855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

84855680 is an abundant number, since it is smaller than the sum of its proper divisors (178353280).

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

84855680 is a wasteful number, since it uses less digits than its factorization.

84855680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 44.

The square root of 84855680 is about 9211.7142812834. The cubic root of 84855680 is about 439.4339829303.

The spelling of 84855680 in words is "eighty-four million, eight hundred fifty-five thousand, six hundred eighty".