7993536 has 112 divisors (see below), whose sum is σ = 23408640. Its totient is φ = 2396160.

The previous prime is 7993529. The next prime is 7993537. The reversal of 7993536 is 6353997.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7993537) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101145 + ... + 101223.

Almost surely, 2^7993536 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 7993536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11704320).

7993536 is an abundant number, since it is smaller than the sum of its proper divisors (15415104).

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

7993536 is a wasteful number, since it uses less digits than its factorization.

7993536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 132 counting only the distinct ones).

The product of its digits is 153090, while the sum is 42.

The square root of 7993536 is about 2827.2842092722. The cubic root of 7993536 is about 199.9461188187.

The spelling of 7993536 in words is "seven million, nine hundred ninety-three thousand, five hundred thirty-six".