8612736 has 64 divisors (see below), whose sum is σ = 24969600. Its totient is φ = 2608640.

The previous prime is 8612731. The next prime is 8612743. The reversal of 8612736 is 6372168.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 8612697 and 8612706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8612731) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3205 + ... + 5243.

It is an arithmetic number, because the mean of its divisors is an integer number (390150).

Almost surely, 2^8612736 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 8612736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12484800).

8612736 is an abundant number, since it is smaller than the sum of its proper divisors (16356864).

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

8612736 is a wasteful number, since it uses less digits than its factorization.

8612736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2055 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 8612736 is about 2934.7463263458. The cubic root of 8612736 is about 204.9810492099.

The spelling of 8612736 in words is "eight million, six hundred twelve thousand, seven hundred thirty-six".