10126080 has 144 divisors (see below), whose sum is σ = 36056160. Its totient is φ = 2691072.

The previous prime is 10126079. The next prime is 10126087. The reversal of 10126080 is 8062101.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (10126087) 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 15 ways as a sum of consecutive naturals, for example, 34414 + ... + 34706.

It is an arithmetic number, because the mean of its divisors is an integer number (250390).

Almost surely, 2^10126080 is an apocalyptic number.

10126080 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 10126080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18028080).

10126080 is an abundant number, since it is smaller than the sum of its proper divisors (25930080).

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

10126080 is an equidigital number, since it uses as much as digits as its factorization.

10126080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 10126080 is about 3182.1502164417. The cubic root of 10126080 is about 216.3451272703.

Adding to 10126080 its reverse (8062101), we get a palindrome (18188181).

The spelling of 10126080 in words is "ten million, one hundred twenty-six thousand, eighty".