10640268 has 48 divisors (see below), whose sum is σ = 27941760. Its totient is φ = 3501072.

The previous prime is 10640263. The next prime is 10640269. The reversal of 10640268 is 86204601.

10640268 is a `hidden beast` number, since 10 + 640 + 2 + 6 + 8 = 666.

It is a super-2 number, since 2×10640268² = 226430606223648, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10640263) 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, 8371 + ... + 9557.

It is an arithmetic number, because the mean of its divisors is an integer number (582120).

Almost surely, 2^10640268 is an apocalyptic number.

10640268 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 10640268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13970880).

10640268 is an abundant number, since it is smaller than the sum of its proper divisors (17301492).

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

10640268 is a wasteful number, since it uses less digits than its factorization.

10640268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1283 (or 1275 counting only the distinct ones).

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

The square root of 10640268 is about 3261.9423661371. The cubic root of 10640268 is about 219.9467364168.

Adding to 10640268 its reverse (86204601), we get a palindrome (96844869).

The spelling of 10640268 in words is "ten million, six hundred forty thousand, two hundred sixty-eight".