8146801920 has 144 divisors (see below), whose sum is σ = 26333358912. Its totient is φ = 2146222080.

The previous prime is 8146801913. The next prime is 8146801933. The reversal of 8146801920 is 291086418.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 305940 + ... + 331500.

It is an arithmetic number, because the mean of its divisors is an integer number (182870548).

Almost surely, 2^8146801920 is an apocalyptic number.

8146801920 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 8146801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13166679456).

8146801920 is an abundant number, since it is smaller than the sum of its proper divisors (18186556992).

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

8146801920 is a wasteful number, since it uses less digits than its factorization.

8146801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25668 (or 25654 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 8146801920 is about 90259.6361614648. The cubic root of 8146801920 is about 2012.1594177971.

The spelling of 8146801920 in words is "eight billion, one hundred forty-six million, eight hundred one thousand, nine hundred twenty".