10170720 has 144 divisors (see below), whose sum is σ = 39705120. Its totient is φ = 2322432.

The previous prime is 10170707. The next prime is 10170731. The reversal of 10170720 is 2707101.

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 a junction number, because it is equal to n+sod(n) for n = 10170693 and 10170702.

It is a congruent number.

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, 9576 + ... + 10584.

It is an arithmetic number, because the mean of its divisors is an integer number (275730).

Almost surely, 2^10170720 is an apocalyptic number.

10170720 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 10170720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19852560).

10170720 is an abundant number, since it is smaller than the sum of its proper divisors (29534400).

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

10170720 is a wasteful number, since it uses less digits than its factorization.

10170720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 10170720 is about 3189.1566283267. The cubic root of 10170720 is about 216.6625745447.

Adding to 10170720 its reverse (2707101), we get a palindrome (12877821).

The spelling of 10170720 in words is "ten million, one hundred seventy thousand, seven hundred twenty".