10629846 has 32 divisors (see below), whose sum is σ = 23868000. Its totient is φ = 3506400.

The previous prime is 10629833. The next prime is 10629847. The reversal of 10629846 is 64892601.

It is a super-2 number, since 2×10629846² = 225987251967432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 10629846.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10629847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4480 + ... + 6428.

It is an arithmetic number, because the mean of its divisors is an integer number (745875).

Almost surely, 2^10629846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10629846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11934000).

10629846 is an abundant number, since it is smaller than the sum of its proper divisors (13238154).

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

10629846 is a wasteful number, since it uses less digits than its factorization.

10629846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2061 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10629846 is about 3260.3444603293. The cubic root of 10629846 is about 219.8749013304.

The spelling of 10629846 in words is "ten million, six hundred twenty-nine thousand, eight hundred forty-six".