86322816 has 48 divisors (see below), whose sum is σ = 248406210. Its totient is φ = 28773888.

The previous prime is 86322811. The next prime is 86322823. The reversal of 86322816 is 61822368.

86322816 is a `hidden beast` number, since 8 + 632 + 2 + 8 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 76737600 + 9585216 = 8760^2 + 3096^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (86322811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 36315 + ... + 38618.

Almost surely, 2^86322816 is an apocalyptic number.

It is an amenable number.

86322816 is an abundant number, since it is smaller than the sum of its proper divisors (162083394).

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

86322816 is a wasteful number, since it uses less digits than its factorization.

86322816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74953 (or 74938 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 86322816 is about 9291.0072650924. The cubic root of 86322816 is about 441.9520978916.

The spelling of 86322816 in words is "eighty-six million, three hundred twenty-two thousand, eight hundred sixteen".