10628840 has 32 divisors (see below), whose sum is σ = 24501960. Its totient is φ = 4147200.

The previous prime is 10628837. The next prime is 10628843. The reversal of 10628840 is 4882601.

10628840 is nontrivially palindromic in base 3 and base 9.

It is an interprime number because it is at equal distance from previous prime (10628837) and next prime (10628843).

It can be written as a sum of positive squares in 4 ways, for example, as 8491396 + 2137444 = 2914^2 + 1462^2 .

It is a super-2 number, since 2×10628840² = 225944479491200, which contains 22 as substring.

It is a zygodrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10628843) 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 7 ways as a sum of consecutive naturals, for example, 1601 + ... + 4880.

Almost surely, 2^10628840 is an apocalyptic number.

10628840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10628840 is an abundant number, since it is smaller than the sum of its proper divisors (13873120).

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

10628840 is a wasteful number, since it uses less digits than its factorization.

10628840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6533 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 10628840 is about 3260.1901785019. The cubic root of 10628840 is about 219.8679648508.

The spelling of 10628840 in words is "ten million, six hundred twenty-eight thousand, eight hundred forty".