10966780 has 48 divisors (see below), whose sum is σ = 25482240. Its totient is φ = 3931200.

The previous prime is 10966759. The next prime is 10966783. The reversal of 10966780 is 8766901.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10966783) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17065 + ... + 17695.

It is an arithmetic number, because the mean of its divisors is an integer number (530880).

Almost surely, 2^10966780 is an apocalyptic number.

10966780 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 10966780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12741120).

10966780 is an abundant number, since it is smaller than the sum of its proper divisors (14515460).

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

10966780 is a wasteful number, since it uses less digits than its factorization.

10966780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 37.

The square root of 10966780 is about 3311.6129000836. The cubic root of 10966780 is about 222.1739026424.

It can be divided in two parts, 109 and 66780, that multiplied together give a triangular number (7279020 = T₃₈₁₅).

The spelling of 10966780 in words is "ten million, nine hundred sixty-six thousand, seven hundred eighty".