8008842240 has 396 divisors, whose sum is σ = 32290213176. Its totient is φ = 1830076416.

The previous prime is 8008842229. The next prime is 8008842263. The reversal of 8008842240 is 422488008.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8008842195 and 8008842204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2256147 + ... + 2259693.

Almost surely, 2^8008842240 is an apocalyptic number.

8008842240 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 8008842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16145106588).

8008842240 is an abundant number, since it is smaller than the sum of its proper divisors (24281370936).

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

8008842240 is a wasteful number, since it uses less digits than its factorization.

8008842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3592 (or 3564 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 8008842240 is about 89492.1350734242. The cubic root of 8008842240 is about 2000.7365820235.

The spelling of 8008842240 in words is "eight billion, eight million, eight hundred forty-two thousand, two hundred forty".