7086816 has 72 divisors (see below), whose sum is σ = 21995064. Its totient is φ = 2146560.

The previous prime is 7086811. The next prime is 7086839. The reversal of 7086816 is 6186807.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×7086816² = 100445922035712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7086811) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2050 + ... + 4286.

It is an arithmetic number, because the mean of its divisors is an integer number (305487).

Almost surely, 2^7086816 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 7086816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10997532).

7086816 is an abundant number, since it is smaller than the sum of its proper divisors (14908248).

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

7086816 is a wasteful number, since it uses less digits than its factorization.

7086816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2264 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 7086816 is about 2662.1074358485. The cubic root of 7086816 is about 192.0806952467.

Subtracting from 7086816 its reverse (6186807), we obtain a palindrome (900009).

The spelling of 7086816 in words is "seven million, eighty-six thousand, eight hundred sixteen".