8283240 has 192 divisors, whose sum is σ = 32572800. Its totient is φ = 1783296.

The previous prime is 8283217. The next prime is 8283257. The reversal of 8283240 is 423828.

8283240 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8283240² = 137224129795200, which contains 22 as substring.

8283240 is strictly pandigital in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47794 + ... + 47966.

It is an arithmetic number, because the mean of its divisors is an integer number (169650).

Almost surely, 2^8283240 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 8283240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16286400).

8283240 is an abundant number, since it is smaller than the sum of its proper divisors (24289560).

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

8283240 is a wasteful number, since it uses less digits than its factorization.

8283240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 8283240 is about 2878.0618478414. The cubic root of 8283240 is about 202.3330127698. Note that the first 3 decimals are identical.

The spelling of 8283240 in words is "eight million, two hundred eighty-three thousand, two hundred forty".