8242560 has 192 divisors, whose sum is σ = 30073680. Its totient is φ = 2156544.

The previous prime is 8242547. The next prime is 8242567. The reversal of 8242560 is 652428.

8242560 = T₅₃₁ + T₅₃₂ + ... + T₅₈₃.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8242567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155494 + ... + 155546.

Almost surely, 2^8242560 is an apocalyptic number.

8242560 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 8242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15036840).

8242560 is an abundant number, since it is smaller than the sum of its proper divisors (21831120).

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

8242560 is an equidigital number, since it uses as much as digits as its factorization.

8242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8242560 is about 2870.9858933823. The cubic root of 8242560 is about 202.0012417007.

Adding to 8242560 its reverse (652428), we get a palindrome (8894988).

The spelling of 8242560 in words is "eight million, two hundred forty-two thousand, five hundred sixty".