10617320 has 48 divisors (see below), whose sum is σ = 27794340. Its totient is φ = 3639552.

The previous prime is 10617317. The next prime is 10617337. The reversal of 10617320 is 2371601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 9572836 + 1044484 = 3094^2 + 1022^2 .

It is a super-2 number, since 2×10617320² = 225454967964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10617292 and 10617301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 749 + ... + 4668.

Almost surely, 2^10617320 is an apocalyptic number.

10617320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10617320 is an abundant number, since it is smaller than the sum of its proper divisors (17177020).

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

10617320 is a wasteful number, since it uses less digits than its factorization.

10617320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5442 (or 5431 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 20.

The square root of 10617320 is about 3258.4229314194. The cubic root of 10617320 is about 219.7885019747.

Adding to 10617320 its reverse (2371601), we get a palindrome (12988921).

The spelling of 10617320 in words is "ten million, six hundred seventeen thousand, three hundred twenty".