10766380 has 24 divisors (see below), whose sum is σ = 22680000. Its totient is φ = 4293120.

The previous prime is 10766377. The next prime is 10766381. The reversal of 10766380 is 8366701.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10766381) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7996 + ... + 9244.

It is an arithmetic number, because the mean of its divisors is an integer number (945000).

Almost surely, 2^10766380 is an apocalyptic number.

10766380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10766380 is an abundant number, since it is smaller than the sum of its proper divisors (11913620).

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

10766380 is a wasteful number, since it uses less digits than its factorization.

10766380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1687 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 10766380 is about 3281.2162379215. The cubic root of 10766380 is about 220.8122864321.

The spelling of 10766380 in words is "ten million, seven hundred sixty-six thousand, three hundred eighty".