10706080 has 144 divisors (see below), whose sum is σ = 32175360. Its totient is φ = 3294720.

The previous prime is 10706071. The next prime is 10706093. The reversal of 10706080 is 8060701.

It is a super-3 number, since 3×10706080³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135481 + ... + 135559.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 2^10706080 is an apocalyptic number.

10706080 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 10706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16087680).

10706080 is an abundant number, since it is smaller than the sum of its proper divisors (21469280).

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

10706080 is a wasteful number, since it uses less digits than its factorization.

10706080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 10706080 is about 3272.0146698938. The cubic root of 10706080 is about 220.3992749231.

Adding to 10706080 its reverse (8060701), we get a palindrome (18766781).

The spelling of 10706080 in words is "ten million, seven hundred six thousand, eighty".