10627120 has 60 divisors (see below), whose sum is σ = 28752624. Its totient is φ = 3642240.

The previous prime is 10627117. The next prime is 10627157. The reversal of 10627120 is 2172601.

It is a super-2 number, since 2×10627120² = 225871358988800, 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 11 ways as a sum of consecutive naturals, for example, 2565 + ... + 5275.

Almost surely, 2^10627120 is an apocalyptic number.

10627120 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 10627120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376312).

10627120 is an abundant number, since it is smaller than the sum of its proper divisors (18125504).

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

10627120 is a wasteful number, since it uses less digits than its factorization.

10627120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 10627120 is about 3259.9263795368. The cubic root of 10627120 is about 219.8561042495.

Adding to 10627120 its reverse (2172601), we get a palindrome (12799721).

The spelling of 10627120 in words is "ten million, six hundred twenty-seven thousand, one hundred twenty".