10617120 has 144 divisors (see below), whose sum is σ = 37090872. Its totient is φ = 2764800.

The previous prime is 10617107. The next prime is 10617121. The reversal of 10617120 is 2171601.

It can be written as a sum of positive squares in 4 ways, for example, as 10419984 + 197136 = 3228^2 + 444^2 .

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

It is a super-2 number, since 2×10617120² = 225446474188800, which contains 22 as substring.

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 = 10617093 and 10617102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10617121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105070 + ... + 105170.

Almost surely, 2^10617120 is an apocalyptic number.

10617120 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 10617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18545436).

10617120 is an abundant number, since it is smaller than the sum of its proper divisors (26473752).

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

10617120 is a wasteful number, since it uses less digits than its factorization.

10617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 10617120 is about 3258.3922415817. The cubic root of 10617120 is about 219.7871219034.

Adding to 10617120 its reverse (2171601), we get a palindrome (12788721).

The spelling of 10617120 in words is "ten million, six hundred seventeen thousand, one hundred twenty".