8842245120 has 616 divisors, whose sum is σ = 33506868096. Its totient is φ = 2233516032.

The previous prime is 8842245067. The next prime is 8842245127. The reversal of 8842245120 is 215422488.

8842245120 is a `hidden beast` number, since 88 + 42 + 24 + 512 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8842245127) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 85846989 + ... + 85847091.

Almost surely, 2^8842245120 is an apocalyptic number.

8842245120 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 8842245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16753434048).

8842245120 is an abundant number, since it is smaller than the sum of its proper divisors (24664622976).

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

8842245120 is a wasteful number, since it uses less digits than its factorization.

8842245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 8842245120 is about 94033.2128558841. The cubic root of 8842245120 is about 2067.8586551804.

The spelling of 8842245120 in words is "eight billion, eight hundred forty-two million, two hundred forty-five thousand, one hundred twenty".