10769680 has 40 divisors (see below), whose sum is σ = 25301952. Its totient is φ = 4262784.

The previous prime is 10769669. The next prime is 10769699. The reversal of 10769680 is 8696701.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7587 + ... + 8893.

Almost surely, 2^10769680 is an apocalyptic number.

10769680 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 10769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12650976).

10769680 is an abundant number, since it is smaller than the sum of its proper divisors (14532272).

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

10769680 is a wasteful number, since it uses less digits than its factorization.

10769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1423 (or 1417 counting only the distinct ones).

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

The square root of 10769680 is about 3281.7190617114. The cubic root of 10769680 is about 220.8348444974.

It can be divided in two parts, 10769 and 680, that added together give a square (11449 = 107²).

The spelling of 10769680 in words is "ten million, seven hundred sixty-nine thousand, six hundred eighty".