10935080 has 64 divisors (see below), whose sum is σ = 28077840. Its totient is φ = 3796992.

The previous prime is 10935049. The next prime is 10935083. The reversal of 10935080 is 8053901.

10935080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 5635876 + 5299204 = 2374^2 + 2302^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10935083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8222 + ... + 9458.

Almost surely, 2^10935080 is an apocalyptic number.

10935080 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 10935080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14038920).

10935080 is an abundant number, since it is smaller than the sum of its proper divisors (17142760).

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

10935080 is a wasteful number, since it uses less digits than its factorization.

10935080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 10935080 is about 3306.8232489808. The cubic root of 10935080 is about 221.9596279695.

Adding to 10935080 its reverse (8053901), we get a palindrome (18988981).

The spelling of 10935080 in words is "ten million, nine hundred thirty-five thousand, eighty".