8272940 has 48 divisors (see below), whose sum is σ = 19135872. Its totient is φ = 2985216.

The previous prime is 8272937. The next prime is 8272949. The reversal of 8272940 is 492728.

8272940 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 8272897 and 8272906.

It is not an unprimeable number, because it can be changed into a prime (8272949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11882 + ... + 12558.

It is an arithmetic number, because the mean of its divisors is an integer number (398664).

Almost surely, 2^8272940 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 8272940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9567936).

8272940 is an abundant number, since it is smaller than the sum of its proper divisors (10862932).

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

8272940 is a wasteful number, since it uses less digits than its factorization.

8272940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 8272940 is about 2876.2718925720. The cubic root of 8272940 is about 202.2491126518.

The spelling of 8272940 in words is "eight million, two hundred seventy-two thousand, nine hundred forty".