8648192 has 80 divisors (see below), whose sum is σ = 20951040. Its totient is φ = 3483648.

The previous prime is 8648191. The next prime is 8648221. The reversal of 8648192 is 2918468.

It is a super-3 number, since 3×8648192³ (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8648191) 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, 68033 + ... + 68159.

It is an arithmetic number, because the mean of its divisors is an integer number (261888).

Almost surely, 2^8648192 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 8648192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10475520).

8648192 is an abundant number, since it is smaller than the sum of its proper divisors (12302848).

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

8648192 is a wasteful number, since it uses less digits than its factorization.

8648192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 155 counting only the distinct ones).

The product of its digits is 27648, while the sum is 38.

The square root of 8648192 is about 2940.7808486863. The cubic root of 8648192 is about 205.2619455365.

It can be divided in two parts, 864 and 8192, that multiplied together give a cube (7077888 = 192³).

The spelling of 8648192 in words is "eight million, six hundred forty-eight thousand, one hundred ninety-two".