7927936 has 32 divisors (see below), whose sum is σ = 15921180. Its totient is φ = 3932160.

The previous prime is 7927919. The next prime is 7927937. The reversal of 7927936 is 6397297.

It can be written as a sum of positive squares in 2 ways, for example, as 6350400 + 1577536 = 2520^2 + 1256^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 7927892 and 7927901.

It is not an unprimeable number, because it can be changed into a prime (7927937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 30720 + ... + 30976.

Almost surely, 2^7927936 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 7927936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7960590).

7927936 is an abundant number, since it is smaller than the sum of its proper divisors (7993244).

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

7927936 is a wasteful number, since it uses less digits than its factorization.

7927936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 500 counting only the distinct ones).

The product of its digits is 142884, while the sum is 43.

The square root of 7927936 is about 2815.6590702711. The cubic root of 7927936 is about 199.3976543867.

The spelling of 7927936 in words is "seven million, nine hundred twenty-seven thousand, nine hundred thirty-six".