8242960 has 160 divisors (see below), whose sum is σ = 24105600. Its totient is φ = 2580480.

The previous prime is 8242957. The next prime is 8242961. The reversal of 8242960 is 692428.

It is not an unprimeable number, because it can be changed into a prime (8242961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284226 + ... + 284254.

It is an arithmetic number, because the mean of its divisors is an integer number (150660).

Almost surely, 2^8242960 is an apocalyptic number.

8242960 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 8242960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12052800).

8242960 is an abundant number, since it is smaller than the sum of its proper divisors (15862640).

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

8242960 is a wasteful number, since it uses less digits than its factorization.

8242960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 8242960 is about 2871.0555550180. The cubic root of 8242960 is about 202.0045092612.

The spelling of 8242960 in words is "eight million, two hundred forty-two thousand, nine hundred sixty".