8010960 has 80 divisors (see below), whose sum is σ = 25712640. Its totient is φ = 2060800.

The previous prime is 8010953. The next prime is 8010967. The reversal of 8010960 is 690108.

It is an interprime number because it is at equal distance from previous prime (8010953) and next prime (8010967).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 8010960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8010967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6385 + ... + 7535.

It is an arithmetic number, because the mean of its divisors is an integer number (321408).

Almost surely, 2^8010960 is an apocalyptic number.

8010960 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 8010960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12856320).

8010960 is an abundant number, since it is smaller than the sum of its proper divisors (17701680).

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

8010960 is a wasteful number, since it uses less digits than its factorization.

8010960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 8010960 is about 2830.3639341964. The cubic root of 8010960 is about 200.0912916562.

The spelling of 8010960 in words is "eight million, ten thousand, nine hundred sixty".