8905921920 has 1024 divisors, whose sum is σ = 39340339200. Its totient is φ = 1857945600.

The previous prime is 8905921919. The next prime is 8905921951. The reversal of 8905921920 is 291295098.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 125435485 + ... + 125435555.

It is an arithmetic number, because the mean of its divisors is an integer number (38418300).

Almost surely, 2^8905921920 is an apocalyptic number.

8905921920 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 8905921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19670169600).

8905921920 is an abundant number, since it is smaller than the sum of its proper divisors (30434417280).

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

8905921920 is a wasteful number, since it uses less digits than its factorization.

8905921920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 8905921920 is about 94371.1922145736. The cubic root of 8905921920 is about 2072.8106327592.

The spelling of 8905921920 in words is "eight billion, nine hundred five million, nine hundred twenty-one thousand, nine hundred twenty".