10627144 has 16 divisors (see below), whose sum is σ = 21737520. Its totient is φ = 4830480.

The previous prime is 10627117. The next prime is 10627157. The reversal of 10627144 is 44172601.

It is a super-2 number, since 2×10627144² = 225872379193472, 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, 60294 + ... + 60469.

It is an arithmetic number, because the mean of its divisors is an integer number (1358595).

Almost surely, 2^10627144 is an apocalyptic number.

It is an amenable number.

10627144 is an abundant number, since it is smaller than the sum of its proper divisors (11110376).

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

10627144 is a wasteful number, since it uses less digits than its factorization.

10627144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120780 (or 120776 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 10627144 is about 3259.9300605995. The cubic root of 10627144 is about 219.8562697551.

Adding to 10627144 its reverse (44172601), we get a palindrome (54799745).

The spelling of 10627144 in words is "ten million, six hundred twenty-seven thousand, one hundred forty-four".