8345792 has 56 divisors (see below), whose sum is σ = 20397216. Its totient is φ = 3299328.

The previous prime is 8345791. The next prime is 8345801. The reversal of 8345792 is 2975438.

It is a tau number, because it is divible by the number of its divisors (56).

It is a d-powerful number, because it can be written as 8³ + 3¹² + 4⁶ + 5⁹ + 7⁸ + 9⁵ + 2¹⁵ .

It is not an unprimeable number, because it can be changed into a prime (8345791) 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, 5108 + ... + 6540.

It is an arithmetic number, because the mean of its divisors is an integer number (364236).

Almost surely, 2^8345792 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 8345792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10198608).

8345792 is an abundant number, since it is smaller than the sum of its proper divisors (12051424).

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

8345792 is a wasteful number, since it uses less digits than its factorization.

8345792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1465 (or 1455 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 8345792 is about 2888.9084443783. The cubic root of 8345792 is about 202.8410510469.

The spelling of 8345792 in words is "eight million, three hundred forty-five thousand, seven hundred ninety-two".