10766400 has 84 divisors (see below), whose sum is σ = 35338512. Its totient is φ = 2869760.

The previous prime is 10766381. The next prime is 10766401. The reversal of 10766400 is 466701.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10766401) 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, 3679 + ... + 5921.

Almost surely, 2^10766400 is an apocalyptic number.

10766400 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 10766400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17669256).

10766400 is an abundant number, since it is smaller than the sum of its proper divisors (24572112).

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

10766400 is a wasteful number, since it uses less digits than its factorization.

10766400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2268 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 10766400 is about 3281.2192855705. The cubic root of 10766400 is about 220.8124231615.

The spelling of 10766400 in words is "ten million, seven hundred sixty-six thousand, four hundred".