7681536 has 60 divisors (see below), whose sum is σ = 22182732. Its totient is φ = 2558976.

The previous prime is 7681519. The next prime is 7681537. The reversal of 7681536 is 6351867.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 7681536.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7681537) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3775 + ... + 5441.

Almost surely, 2^7681536 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 7681536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091366).

7681536 is an abundant number, since it is smaller than the sum of its proper divisors (14501196).

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

7681536 is a wasteful number, since it uses less digits than its factorization.

7681536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1691 (or 1672 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 7681536 is about 2771.5584063844. The cubic root of 7681536 is about 197.3101182007.

It can be divided in two parts, 768 and 1536, that added together give a square (2304 = 48²).

The spelling of 7681536 in words is "seven million, six hundred eighty-one thousand, five hundred thirty-six".