10629120 has 104 divisors (see below), whose sum is σ = 34205616. Its totient is φ = 2818048.

The previous prime is 10629107. The next prime is 10629121. The reversal of 10629120 is 2192601.

It is a super-2 number, since 2×10629120² = 225956383948800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10629121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61354 + ... + 61526.

Almost surely, 2^10629120 is an apocalyptic number.

10629120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10629120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17102808).

10629120 is an abundant number, since it is smaller than the sum of its proper divisors (23576496).

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

10629120 is an equidigital number, since it uses as much as digits as its factorization.

10629120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10629120 is about 3260.2331204992. The cubic root of 10629120 is about 219.8698955253.

The spelling of 10629120 in words is "ten million, six hundred twenty-nine thousand, one hundred twenty".