86480856 has 192 divisors, whose sum is σ = 307756800. Its totient is φ = 21254400.

The previous prime is 86480827. The next prime is 86480861. The reversal of 86480856 is 65808468.

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, 104926 + ... + 105746.

It is an arithmetic number, because the mean of its divisors is an integer number (1602900).

Almost surely, 2^86480856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86480856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153878400).

86480856 is an abundant number, since it is smaller than the sum of its proper divisors (221275944).

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

86480856 is a wasteful number, since it uses less digits than its factorization.

86480856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 863 counting only the distinct ones).

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

The square root of 86480856 is about 9299.5083741024. The cubic root of 86480856 is about 442.2216424194.

The spelling of 86480856 in words is "eighty-six million, four hundred eighty thousand, eight hundred fifty-six".