10769024 has 96 divisors (see below), whose sum is σ = 26686260. Its totient is φ = 4300800.

The previous prime is 10769023. The next prime is 10769047. The reversal of 10769024 is 42096701.

It can be written as a sum of positive squares in 2 ways, for example, as 8809024 + 1960000 = 2968^2 + 1400^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10769021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 106574 + ... + 106674.

Almost surely, 2^10769024 is an apocalyptic number.

10769024 is a gapful number since it is divisible by the number (14) 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 10769024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13343130).

10769024 is an abundant number, since it is smaller than the sum of its proper divisors (15917236).

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

10769024 is a wasteful number, since it uses less digits than its factorization.

10769024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10769024 is about 3281.6191125723. The cubic root of 10769024 is about 220.8303605945.

The spelling of 10769024 in words is "ten million, seven hundred sixty-nine thousand, twenty-four".