10629632 has 40 divisors (see below), whose sum is σ = 22886556. Its totient is φ = 4902912.

The previous prime is 10629629. The next prime is 10629649. The reversal of 10629632 is 23692601.

It can be written as a sum of positive squares in 2 ways, for example, as 9339136 + 1290496 = 3056^2 + 1136^2 .

It is a super-2 number, since 2×10629632² = 225978152910848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10629595 and 10629604.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5858 + ... + 7454.

Almost surely, 2^10629632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10629632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11443278).

10629632 is an abundant number, since it is smaller than the sum of its proper divisors (12256924).

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

10629632 is an equidigital number, since it uses as much as digits as its factorization.

10629632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1612 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 29.

The square root of 10629632 is about 3260.3116415459. The cubic root of 10629632 is about 219.8734258137.

The spelling of 10629632 in words is "ten million, six hundred twenty-nine thousand, six hundred thirty-two".