10629984 has 24 divisors (see below), whose sum is σ = 27903960. Its totient is φ = 3543296.

The previous prime is 10629973. The next prime is 10630001. The reversal of 10629984 is 48992601.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10629984² = 225993119680512, which contains 22 as substring.

It is a congruent number.

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, 55269 + ... + 55460.

It is an arithmetic number, because the mean of its divisors is an integer number (1162665).

Almost surely, 2^10629984 is an apocalyptic number.

It is an amenable number.

10629984 is an abundant number, since it is smaller than the sum of its proper divisors (17273976).

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

10629984 is a wasteful number, since it uses less digits than its factorization.

10629984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110742 (or 110734 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 10629984 is about 3260.3656236686. The cubic root of 10629984 is about 219.8758528213.

The spelling of 10629984 in words is "ten million, six hundred twenty-nine thousand, nine hundred eighty-four".