8225169920 has 160 divisors (see below), whose sum is σ = 22647746880. Its totient is φ = 2833367040.

The previous prime is 8225169919. The next prime is 8225169923. The reversal of 8225169920 is 299615228.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (8225169923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 527354 + ... + 542726.

It is an arithmetic number, because the mean of its divisors is an integer number (141548418).

Almost surely, 2^8225169920 is an apocalyptic number.

8225169920 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 8225169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11323873440).

8225169920 is an abundant number, since it is smaller than the sum of its proper divisors (14422576960).

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

8225169920 is a wasteful number, since it uses less digits than its factorization.

8225169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15426 (or 15410 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 44.

The square root of 8225169920 is about 90692.7225305316. The cubic root of 8225169920 is about 2018.5908153483.

The spelling of 8225169920 in words is "eight billion, two hundred twenty-five million, one hundred sixty-nine thousand, nine hundred twenty".