10785580 has 36 divisors (see below), whose sum is σ = 24533712. Its totient is φ = 3981120.

The previous prime is 10785571. The next prime is 10785581. The reversal of 10785580 is 8558701.

It is not an unprimeable number, because it can be changed into a prime (10785581) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1785 + ... + 4975.

It is an arithmetic number, because the mean of its divisors is an integer number (681492).

Almost surely, 2^10785580 is an apocalyptic number.

10785580 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 10785580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12266856).

10785580 is an abundant number, since it is smaller than the sum of its proper divisors (13748132).

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

10785580 is a wasteful number, since it uses less digits than its factorization.

10785580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3226 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

The square root of 10785580 is about 3284.1406790818. The cubic root of 10785580 is about 220.9434688164.

It can be divided in two parts, 107 and 85580, that multiplied together give a triangular number (9157060 = T₄₂₇₉).

The spelling of 10785580 in words is "ten million, seven hundred eighty-five thousand, five hundred eighty".