10767680 has 224 divisors, whose sum is σ = 35112960. Its totient is φ = 3041280.

The previous prime is 10767641. The next prime is 10767683. The reversal of 10767680 is 8676701.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10767680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10767683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 468149 + ... + 468171.

Almost surely, 2^10767680 is an apocalyptic number.

10767680 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 10767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17556480).

10767680 is an abundant number, since it is smaller than the sum of its proper divisors (24345280).

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

10767680 is a wasteful number, since it uses less digits than its factorization.

10767680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The square root of 10767680 is about 3281.4143292184. The cubic root of 10767680 is about 220.8211734929.

The spelling of 10767680 in words is "ten million, seven hundred sixty-seven thousand, six hundred eighty".