86816016 has 160 divisors (see below), whose sum is σ = 299980800. Its totient is φ = 23483520.

The previous prime is 86815973. The next prime is 86816017. The reversal of 86816016 is 61061868.

It is a super-2 number, since 2×86816016² = 15074041268224512, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (86816017) by changing a digit.

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, 56701 + ... + 58211.

It is an arithmetic number, because the mean of its divisors is an integer number (1874880).

Almost surely, 2^86816016 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 86816016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149990400).

86816016 is an abundant number, since it is smaller than the sum of its proper divisors (213164784).

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

86816016 is a wasteful number, since it uses less digits than its factorization.

86816016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1554 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 86816016 is about 9317.5112556948. The cubic root of 86816016 is about 442.7921885212.

The spelling of 86816016 in words is "eighty-six million, eight hundred sixteen thousand, sixteen".