10785960 has 80 divisors (see below), whose sum is σ = 36263700. Its totient is φ = 2875392.

The previous prime is 10785953. The next prime is 10785989. The reversal of 10785960 is 6958701.

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 171396 = 3258^2 + 414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1576 + ... + 4904.

Almost surely, 2^10785960 is an apocalyptic number.

10785960 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 10785960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18131850).

10785960 is an abundant number, since it is smaller than the sum of its proper divisors (25477740).

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

10785960 is a wasteful number, since it uses less digits than its factorization.

10785960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3352 (or 3339 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 10785960 is about 3284.1985323668. The cubic root of 10785960 is about 220.9460635627.

The spelling of 10785960 in words is "ten million, seven hundred eighty-five thousand, nine hundred sixty".