7832016 has 60 divisors (see below), whose sum is σ = 22134372. Its totient is φ = 2585088.

The previous prime is 7832003. The next prime is 7832021. The reversal of 7832016 is 6102387.

It can be written as a sum of positive squares in 2 ways, for example, as 4928400 + 2903616 = 2220^2 + 1704^2 .

It is a super-2 number, since 2×7832016² = 122680949248512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19530 + ... + 19926.

Almost surely, 2^7832016 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 7832016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11067186).

7832016 is an abundant number, since it is smaller than the sum of its proper divisors (14302356).

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

7832016 is a wasteful number, since it uses less digits than its factorization.

7832016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 7832016 is about 2798.5739225541. The cubic root of 7832016 is about 198.5902192741.

The spelling of 7832016 in words is "seven million, eight hundred thirty-two thousand, sixteen".