10760040 has 144 divisors (see below), whose sum is σ = 37198980. Its totient is φ = 2799360.

The previous prime is 10760017. The next prime is 10760041. The reversal of 10760040 is 4006701.

It can be written as a sum of positive squares in 2 ways, for example, as 9474084 + 1285956 = 3078^2 + 1134^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 10759995 and 10760022.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 369 × 81 × 360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10760041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 262420 + ... + 262460.

Almost surely, 2^10760040 is an apocalyptic number.

10760040 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 10760040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18599490).

10760040 is an abundant number, since it is smaller than the sum of its proper divisors (26438940).

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

10760040 is an frugal number, since it uses more digits than its factorization.

10760040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 10760040 is about 3280.2499904733. The cubic root of 10760040 is about 220.7689346654.

Adding to 10760040 its reverse (4006701), we get a palindrome (14766741).

The spelling of 10760040 in words is "ten million, seven hundred sixty thousand, forty".