10627712 has 32 divisors (see below), whose sum is σ = 21460800. Its totient is φ = 5241600.

The previous prime is 10627709. The next prime is 10627739. The reversal of 10627712 is 21772601.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10627712² = 225896524709888, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 9587 + ... + 10637.

It is an arithmetic number, because the mean of its divisors is an integer number (670650).

Almost surely, 2^10627712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10627712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10730400).

10627712 is an abundant number, since it is smaller than the sum of its proper divisors (10833088).

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

10627712 is an equidigital number, since it uses as much as digits as its factorization.

10627712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1132 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 10627712 is about 3260.0171778689. The cubic root of 10627712 is about 219.8601866474.

The spelling of 10627712 in words is "ten million, six hundred twenty-seven thousand, seven hundred twelve".