10709632 has 32 divisors (see below), whose sum is σ = 22032000. Its totient is φ = 5180160.

The previous prime is 10709627. The next prime is 10709639. The reversal of 10709632 is 23690701.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×10709632² = 229392435150848, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10709632.

It is not an unprimeable number, because it can be changed into a prime (10709639) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2619 + ... + 5317.

It is an arithmetic number, because the mean of its divisors is an integer number (688500).

Almost surely, 2^10709632 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 10709632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11016000).

10709632 is an abundant number, since it is smaller than the sum of its proper divisors (11322368).

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

10709632 is an equidigital number, since it uses as much as digits as its factorization.

10709632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2732 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 10709632 is about 3272.5574097333. The cubic root of 10709632 is about 220.4236464847.

The spelling of 10709632 in words is "ten million, seven hundred nine thousand, six hundred thirty-two".