10627840 has 108 divisors (see below), whose sum is σ = 28035504. Its totient is φ = 3852288.

The previous prime is 10627831. The next prime is 10627853. The reversal of 10627840 is 4872601.

It is a super-2 number, since 2×10627840² = 225901966131200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10627799 and 10627808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462069 + ... + 462091.

It is an arithmetic number, because the mean of its divisors is an integer number (259588).

Almost surely, 2^10627840 is an apocalyptic number.

10627840 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 10627840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14017752).

10627840 is an abundant number, since it is smaller than the sum of its proper divisors (17407664).

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

10627840 is an equidigital number, since it uses as much as digits as its factorization.

10627840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 10627840 is about 3260.0368096081. The cubic root of 10627840 is about 219.8610693081.

The spelling of 10627840 in words is "ten million, six hundred twenty-seven thousand, eight hundred forty".