10026080 has 48 divisors (see below), whose sum is σ = 23877504. Its totient is φ = 3978240.

The previous prime is 10026077. The next prime is 10026097. The reversal of 10026080 is 8062001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 35540 + ... + 35820.

It is an arithmetic number, because the mean of its divisors is an integer number (497448).

Almost surely, 2^10026080 is an apocalyptic number.

10026080 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 10026080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938752).

10026080 is an abundant number, since it is smaller than the sum of its proper divisors (13851424).

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

10026080 is a wasteful number, since it uses less digits than its factorization.

10026080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 10026080 is about 3166.3985851437. The cubic root of 10026080 is about 215.6305986084.

Adding to 10026080 its reverse (8062001), we get a palindrome (18088081).

The spelling of 10026080 in words is "ten million, twenty-six thousand, eighty".