10628640 has 216 divisors, whose sum is σ = 40520844. Its totient is φ = 2534400.

The previous prime is 10628623. The next prime is 10628641. The reversal of 10628640 is 4682601.

10628640 is a `hidden beast` number, since 10 + 6 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9217296 + 1411344 = 3036^2 + 1188^2 .

It is a super-2 number, since 2×10628640² = 225935976499200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10628641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174210 + ... + 174270.

Almost surely, 2^10628640 is an apocalyptic number.

10628640 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 10628640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260422).

10628640 is an abundant number, since it is smaller than the sum of its proper divisors (29892204).

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

10628640 is a wasteful number, since it uses less digits than its factorization.

10628640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 10628640 is about 3260.1595053003. The cubic root of 10628640 is about 219.8665857769.

The spelling of 10628640 in words is "ten million, six hundred twenty-eight thousand, six hundred forty".