10096560 has 120 divisors (see below), whose sum is σ = 34915920. Its totient is φ = 2612736.

The previous prime is 10096549. The next prime is 10096573. The reversal of 10096560 is 6569001.

10096560 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 656 + 0 = 666.

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

It is an unprimeable number.

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, 26451 + ... + 26829.

It is an arithmetic number, because the mean of its divisors is an integer number (290966).

Almost surely, 2^10096560 is an apocalyptic number.

10096560 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 10096560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17457960).

10096560 is an abundant number, since it is smaller than the sum of its proper divisors (24819360).

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

10096560 is a wasteful number, since it uses less digits than its factorization.

10096560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 10096560 is about 3177.5084578959. The cubic root of 10096560 is about 216.1346896576.

It can be divided in two parts, 100965 and 60, that added together give a triangular number (101025 = T₄₄₉).

The spelling of 10096560 in words is "ten million, ninety-six thousand, five hundred sixty".