10629630 has 80 divisors (see below), whose sum is σ = 31206384. Its totient is φ = 2574720.

The previous prime is 10629629. The next prime is 10629649. The reversal of 10629630 is 3692601.

It is a happy number.

10629630 is a `hidden beast` number, since 1 + 0 + 6 + 29 + 630 = 666.

It is a super-2 number, since 2×10629630² = 225978067873800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 10629594 and 10629603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8314 + ... + 9506.

Almost surely, 2^10629630 is an apocalyptic number.

10629630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10629630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15603192).

10629630 is an abundant number, since it is smaller than the sum of its proper divisors (20576754).

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

10629630 is a wasteful number, since it uses less digits than its factorization.

10629630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 10629630 is about 3260.3113348268. The cubic root of 10629630 is about 219.8734120237.

The spelling of 10629630 in words is "ten million, six hundred twenty-nine thousand, six hundred thirty".