86466816 has 54 divisors (see below), whose sum is σ = 249311790. Its totient is φ = 28821504.

The previous prime is 86466803. The next prime is 86466823. The reversal of 86466816 is 61866468.

It can be written as a sum of positive squares in only one way, i.e., 50466816 + 36000000 = 7104^2 + 6000^2 .

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16461 + ... + 21068.

It is an arithmetic number, because the mean of its divisors is an integer number (4616885).

Almost surely, 2^86466816 is an apocalyptic number.

It is an amenable number.

86466816 is an abundant number, since it is smaller than the sum of its proper divisors (162844974).

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

86466816 is a wasteful number, since it uses less digits than its factorization.

86466816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37551 (or 37534 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 86466816 is about 9298.7534648468. The cubic root of 86466816 is about 442.1977098476.

The spelling of 86466816 in words is "eighty-six million, four hundred sixty-six thousand, eight hundred sixteen".