10276640 has 48 divisors (see below), whose sum is σ = 26490240. Its totient is φ = 3736320.

The previous prime is 10276633. The next prime is 10276681. The reversal of 10276640 is 4667201.

10276640 = T₇₆ + T₇₇ + ... + T₃₉₅.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1160 + ... + 4679.

It is an arithmetic number, because the mean of its divisors is an integer number (551880).

Almost surely, 2^10276640 is an apocalyptic number.

10276640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10276640 is an abundant number, since it is smaller than the sum of its proper divisors (16213600).

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

10276640 is a wasteful number, since it uses less digits than its factorization.

10276640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5857 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 26.

The square root of 10276640 is about 3205.7198879503. The cubic root of 10276640 is about 217.4121017088.

It can be divided in two parts, 1027 and 6640, that added together give a palindrome (7667).

The spelling of 10276640 in words is "ten million, two hundred seventy-six thousand, six hundred forty".