8214026960 has 40 divisors (see below), whose sum is σ = 19148882280. Its totient is φ = 3276790272.

The previous prime is 8214026959. The next prime is 8214026963. The reversal of 8214026960 is 696204128.

It can be written as a sum of positive squares in 4 ways, for example, as 2063703184 + 6150323776 = 45428^2 + 78424^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8214026963) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 107795 + ... + 167474.

It is an arithmetic number, because the mean of its divisors is an integer number (478722057).

Almost surely, 2^8214026960 is an apocalyptic number.

8214026960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8214026960 is an abundant number, since it is smaller than the sum of its proper divisors (10934855320).

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

8214026960 is a wasteful number, since it uses less digits than its factorization.

8214026960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275655 (or 275649 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 8214026960 is about 90631.2692176381. The cubic root of 8214026960 is about 2017.6788487061.

The spelling of 8214026960 in words is "eight billion, two hundred fourteen million, twenty-six thousand, nine hundred sixty".