8830240 has 48 divisors (see below), whose sum is σ = 21039480. Its totient is φ = 3502080.

The previous prime is 8830189. The next prime is 8830243. The reversal of 8830240 is 420388.

8830240 = T₅₆ + T₅₇ + ... + T₃₇₅.

It can be written as a sum of positive squares in 4 ways, for example, as 8785296 + 44944 = 2964^2 + 212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8830243) 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, 36520 + ... + 36760.

Almost surely, 2^8830240 is an apocalyptic number.

8830240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8830240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519740).

8830240 is an abundant number, since it is smaller than the sum of its proper divisors (12209240).

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

8830240 is a wasteful number, since it uses less digits than its factorization.

8830240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 8830240 is about 2971.5719745616. The cubic root of 8830240 is about 206.6922387134.

The spelling of 8830240 in words is "eight million, eight hundred thirty thousand, two hundred forty".