10629138 has 64 divisors (see below), whose sum is σ = 24514560. Its totient is φ = 3048192.

The previous prime is 10629121. The next prime is 10629149. The reversal of 10629138 is 83192601.

It is a super-2 number, since 2×10629138² = 225957149246088, 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 31 ways as a sum of consecutive naturals, for example, 83631 + ... + 83757.

It is an arithmetic number, because the mean of its divisors is an integer number (383040).

Almost surely, 2^10629138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10629138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12257280).

10629138 is an abundant number, since it is smaller than the sum of its proper divisors (13885422).

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

10629138 is a wasteful number, since it uses less digits than its factorization.

10629138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 10629138 is about 3260.2358810368. The cubic root of 10629138 is about 219.8700196389.

The spelling of 10629138 in words is "ten million, six hundred twenty-nine thousand, one hundred thirty-eight".