10180560 has 120 divisors (see below), whose sum is σ = 34310304. Its totient is φ = 2496000.

The previous prime is 10180553. The next prime is 10180579. The reversal of 10180560 is 6508101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40435 + ... + 40685.

Almost surely, 2^10180560 is an apocalyptic number.

10180560 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 10180560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17155152).

10180560 is an abundant number, since it is smaller than the sum of its proper divisors (24129744).

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

10180560 is a wasteful number, since it uses less digits than its factorization.

10180560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10180560 is about 3190.6989829816. The cubic root of 10180560 is about 216.7324244851.

Adding to 10180560 its reverse (6508101), we get a palindrome (16688661).

The spelling of 10180560 in words is "ten million, one hundred eighty thousand, five hundred sixty".