10242560 has 40 divisors (see below), whose sum is σ = 24564276. Its totient is φ = 4096000.

The previous prime is 10242553. The next prime is 10242581. The reversal of 10242560 is 6524201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8952064 + 1290496 = 2992^2 + 1136^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 560 + ... + 4560.

Almost surely, 2^10242560 is an apocalyptic number.

10242560 is a gapful number since it is divisible by the number (10) 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 10242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12282138).

10242560 is an abundant number, since it is smaller than the sum of its proper divisors (14321716).

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

10242560 is an frugal number, since it uses more digits than its factorization.

10242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4024 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 10242560 is about 3200.3999750031. The cubic root of 10242560 is about 217.1715039372.

Adding to 10242560 its reverse (6524201), we get a palindrome (16766761).

The spelling of 10242560 in words is "ten million, two hundred forty-two thousand, five hundred sixty".