10645128 has 128 divisors (see below), whose sum is σ = 33868800. Its totient is φ = 3068928.

The previous prime is 10645127. The next prime is 10645133. The reversal of 10645128 is 82154601.

10645128 is a `hidden beast` number, since 1 + 0 + 645 + 12 + 8 = 666.

It is a super-2 number, since 2×10645128² = 226637500272768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47625 + ... + 47847.

It is an arithmetic number, because the mean of its divisors is an integer number (264600).

Almost surely, 2^10645128 is an apocalyptic number.

10645128 is a gapful number since it is divisible by the number (18) 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 10645128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16934400).

10645128 is an abundant number, since it is smaller than the sum of its proper divisors (23223672).

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

10645128 is a wasteful number, since it uses less digits than its factorization.

10645128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 10645128 is about 3262.6872360065. The cubic root of 10645128 is about 219.9802186071.

Adding to 10645128 its reverse (82154601), we get a palindrome (92799729).

The spelling of 10645128 in words is "ten million, six hundred forty-five thousand, one hundred twenty-eight".