10785680 has 40 divisors (see below), whose sum is σ = 25947000. Its totient is φ = 4164608.

The previous prime is 10785641. The next prime is 10785703. The reversal of 10785680 is 8658701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3984016 + 6801664 = 1996^2 + 2608^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10785680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5 + ... + 4644.

It is an arithmetic number, because the mean of its divisors is an integer number (648675).

Almost surely, 2^10785680 is an apocalyptic number.

10785680 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 10785680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12973500).

10785680 is an abundant number, since it is smaller than the sum of its proper divisors (15161320).

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

10785680 is a wasteful number, since it uses less digits than its factorization.

10785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4691 (or 4685 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 10785680 is about 3284.1559037293. The cubic root of 10785680 is about 220.9441516503.

The spelling of 10785680 in words is "ten million, seven hundred eighty-five thousand, six hundred eighty".