8492832 has 72 divisors (see below), whose sum is σ = 24835356. Its totient is φ = 2750976.

The previous prime is 8492831. The next prime is 8492849. The reversal of 8492832 is 2382948.

It can be written as a sum of positive squares in 2 ways, for example, as 8088336 + 404496 = 2844^2 + 636^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (8492831) 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, 10258 + ... + 11054.

Almost surely, 2^8492832 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 8492832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417678).

8492832 is an abundant number, since it is smaller than the sum of its proper divisors (16342524).

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

8492832 is a wasteful number, since it uses less digits than its factorization.

8492832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 839 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 8492832 is about 2914.2463862893. The cubic root of 8492832 is about 204.0253717002.

The spelling of 8492832 in words is "eight million, four hundred ninety-two thousand, eight hundred thirty-two".