10668520 has 64 divisors (see below), whose sum is σ = 26341200. Its totient is φ = 3870720.

The previous prime is 10668421. The next prime is 10668521. The reversal of 10668520 is 2586601.

10668520 = 196² + 197² + ... + 340².

It can be written as a sum of positive squares in 8 ways, for example, as 5731236 + 4937284 = 2394^2 + 2222^2 .

It is a super-2 number, since 2×10668520² = 227634637980800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10668521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19450 + ... + 19990.

Almost surely, 2^10668520 is an apocalyptic number.

10668520 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 10668520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13170600).

10668520 is an abundant number, since it is smaller than the sum of its proper divisors (15672680).

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

10668520 is a wasteful number, since it uses less digits than its factorization.

10668520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 10668520 is about 3266.2700439492. The cubic root of 10668520 is about 220.1412316293.

The spelling of 10668520 in words is "ten million, six hundred sixty-eight thousand, five hundred twenty".