8070968160 has 72 divisors (see below), whose sum is σ = 27542183760. Its totient is φ = 2152257792.

The previous prime is 8070968153. The next prime is 8070968167. The reversal of 8070968160 is 618690708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (8070968153) and next prime (8070968167).

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8070968167) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2800980 + ... + 2803859.

It is an arithmetic number, because the mean of its divisors is an integer number (382530330).

Almost surely, 2^8070968160 is an apocalyptic number.

8070968160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8070968160 is an abundant number, since it is smaller than the sum of its proper divisors (19471215600).

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

8070968160 is a wasteful number, since it uses less digits than its factorization.

8070968160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604860 (or 5604849 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 8070968160 is about 89838.5672192071. The cubic root of 8070968160 is about 2005.8966112359.

The spelling of 8070968160 in words is "eight billion, seventy million, nine hundred sixty-eight thousand, one hundred sixty".