8146020960 has 672 divisors, whose sum is σ = 36013807872. Its totient is φ = 1690813440.

The previous prime is 8146020943. The next prime is 8146020989. The reversal of 8146020960 is 690206418.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 8980827 + ... + 8981733.

It is an arithmetic number, because the mean of its divisors is an integer number (53591976).

Almost surely, 2^8146020960 is an apocalyptic number.

8146020960 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 8146020960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18006903936).

8146020960 is an abundant number, since it is smaller than the sum of its proper divisors (27867786912).

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

8146020960 is a wasteful number, since it uses less digits than its factorization.

8146020960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 958 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8146020960 is about 90255.3098714973. The cubic root of 8146020960 is about 2012.0951199189.

The spelling of 8146020960 in words is "eight billion, one hundred forty-six million, twenty thousand, nine hundred sixty".