10670080 has 52 divisors (see below), whose sum is σ = 25654212. Its totient is φ = 4259840.

The previous prime is 10670071. The next prime is 10670089. The reversal of 10670080 is 8007601.

It is an interprime number because it is at equal distance from previous prime (10670071) and next prime (10670089).

It can be written as a sum of positive squares in 2 ways, for example, as 3444736 + 7225344 = 1856^2 + 2688^2 .

It is a super-2 number, since 2×10670080² = 227701214412800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10670089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20220 + ... + 20740.

Almost surely, 2^10670080 is an apocalyptic number.

10670080 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 10670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12827106).

10670080 is an abundant number, since it is smaller than the sum of its proper divisors (14984132).

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

10670080 is an frugal number, since it uses more digits than its factorization.

10670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 528 counting only the distinct ones).

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

The square root of 10670080 is about 3266.5088397248. The cubic root of 10670080 is about 220.1519611271.

Adding to 10670080 its reverse (8007601), we get a palindrome (18677681).

The spelling of 10670080 in words is "ten million, six hundred seventy thousand, eighty".