10676610 has 120 divisors (see below), whose sum is σ = 33519420. Its totient is φ = 2431296.

The previous prime is 10676591. The next prime is 10676639. The reversal of 10676610 is 1667601.

It can be written as a sum of positive squares in 2 ways, for example, as 9529569 + 1147041 = 3087^2 + 1071^2 .

It is a super-2 number, since 2×10676610² = 227980002184200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 39556 + ... + 39824.

Almost surely, 2^10676610 is an apocalyptic number.

10676610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10676610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16759710).

10676610 is an abundant number, since it is smaller than the sum of its proper divisors (22842810).

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

10676610 is a wasteful number, since it uses less digits than its factorization.

10676610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10676610 is about 3267.5082249323. The cubic root of 10676610 is about 220.1968623568.

Subtracting from 10676610 its reverse (1667601), we obtain a palindrome (9009009).

The spelling of 10676610 in words is "ten million, six hundred seventy-six thousand, six hundred ten".