10627152 has 20 divisors (see below), whose sum is σ = 27453600. Its totient is φ = 3542368.

The previous prime is 10627117. The next prime is 10627157. The reversal of 10627152 is 25172601.

It is a super-2 number, since 2×10627152² = 225872719262208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10627157) by changing a digit.

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, 110652 + ... + 110747.

It is an arithmetic number, because the mean of its divisors is an integer number (1372680).

Almost surely, 2^10627152 is an apocalyptic number.

10627152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10627152 is an abundant number, since it is smaller than the sum of its proper divisors (16826448).

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

10627152 is a wasteful number, since it uses less digits than its factorization.

10627152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221410 (or 221404 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 10627152 is about 3259.9312876194. The cubic root of 10627152 is about 219.8563249235.

Adding to 10627152 its reverse (25172601), we get a palindrome (35799753).

The spelling of 10627152 in words is "ten million, six hundred twenty-seven thousand, one hundred fifty-two".