7965936 has 120 divisors (see below), whose sum is σ = 25069824. Its totient is φ = 2340480.

The previous prime is 7965907. The next prime is 7965941. The reversal of 7965936 is 6395697.

It is a super-2 number, since 2×7965936² = 126912272712192, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 7965891 and 7965900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74395 + ... + 74501.

Almost surely, 2^7965936 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 7965936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534912).

7965936 is an abundant number, since it is smaller than the sum of its proper divisors (17103888).

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

7965936 is a wasteful number, since it uses less digits than its factorization.

7965936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 170 counting only the distinct ones).

The product of its digits is 306180, while the sum is 45.

The square root of 7965936 is about 2822.3989795917. The cubic root of 7965936 is about 199.7157294761.

The spelling of 7965936 in words is "seven million, nine hundred sixty-five thousand, nine hundred thirty-six".