8923924240 has 480 divisors, whose sum is σ = 28270190592. Its totient is φ = 2554675200.

The previous prime is 8923924231. The next prime is 8923924259. The reversal of 8923924240 is 424293298.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 70267057 + ... + 70267183.

Almost surely, 2^8923924240 is an apocalyptic number.

8923924240 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 8923924240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14135095296).

8923924240 is an abundant number, since it is smaller than the sum of its proper divisors (19346266352).

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

8923924240 is a wasteful number, since it uses less digits than its factorization.

8923924240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 43.

The square root of 8923924240 is about 94466.5244412009. The cubic root of 8923924240 is about 2074.2063439830.

The spelling of 8923924240 in words is "eight billion, nine hundred twenty-three million, nine hundred twenty-four thousand, two hundred forty".