7969536 has 72 divisors (see below), whose sum is σ = 23587760. Its totient is φ = 2654208.

The previous prime is 7969517. The next prime is 7969547. The reversal of 7969536 is 6359697.

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

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 7969491 and 7969500.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6336 + ... + 7488.

Almost surely, 2^7969536 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 7969536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11793880).

7969536 is an abundant number, since it is smaller than the sum of its proper divisors (15618224).

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

7969536 is a wasteful number, since it uses less digits than its factorization.

7969536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1158 counting only the distinct ones).

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

The square root of 7969536 is about 2823.0366628863. The cubic root of 7969536 is about 199.7458104085.

The spelling of 7969536 in words is "seven million, nine hundred sixty-nine thousand, five hundred thirty-six".