10290560 has 64 divisors (see below), whose sum is σ = 28127520. Its totient is φ = 3526656.

The previous prime is 10290557. The next prime is 10290569. The reversal of 10290560 is 6509201.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10290560² = 211791250227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10290569) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3332 + ... + 5628.

Almost surely, 2^10290560 is an apocalyptic number.

10290560 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 10290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14063760).

10290560 is an abundant number, since it is smaller than the sum of its proper divisors (17836960).

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

10290560 is an equidigital number, since it uses as much as digits as its factorization.

10290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2311 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 10290560 is about 3207.8902724376. The cubic root of 10290560 is about 217.5102210373.

Adding to 10290560 its reverse (6509201), we get a palindrome (16799761).

The spelling of 10290560 in words is "ten million, two hundred ninety thousand, five hundred sixty".