10617152 has 56 divisors (see below), whose sum is σ = 25944576. Its totient is φ = 4197888.

The previous prime is 10617151. The next prime is 10617179. The reversal of 10617152 is 25171601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×10617152² = 225447833182208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10617151) 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 7 ways as a sum of consecutive naturals, for example, 4913 + ... + 6735.

It is an arithmetic number, because the mean of its divisors is an integer number (463296).

Almost surely, 2^10617152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10617152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12972288).

10617152 is an abundant number, since it is smaller than the sum of its proper divisors (15327424).

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

10617152 is a wasteful number, since it uses less digits than its factorization.

10617152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1855 (or 1845 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 23.

The square root of 10617152 is about 3258.3971519752. The cubic root of 10617152 is about 219.7873427160.

Adding to 10617152 its reverse (25171601), we get a palindrome (35788753).

The spelling of 10617152 in words is "ten million, six hundred seventeen thousand, one hundred fifty-two".