8241792 has 96 divisors (see below), whose sum is σ = 23892480. Its totient is φ = 2515968.

The previous prime is 8241791. The next prime is 8241803. The reversal of 8241792 is 2971428.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (8241791) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64833 + ... + 64959.

It is an arithmetic number, because the mean of its divisors is an integer number (248880).

Almost surely, 2^8241792 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 8241792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11946240).

8241792 is an abundant number, since it is smaller than the sum of its proper divisors (15650688).

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

8241792 is a wasteful number, since it uses less digits than its factorization.

8241792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 145 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 8241792 is about 2870.8521383032. The cubic root of 8241792 is about 201.9949676882.

The spelling of 8241792 in words is "eight million, two hundred forty-one thousand, seven hundred ninety-two".