10349632 has 56 divisors (see below), whose sum is σ = 21945600. Its totient is φ = 4832256.

The previous prime is 10349621. The next prime is 10349641. The reversal of 10349632 is 23694301.

It is a super-2 number, since 2×10349632² = 214229765070848, 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 10349632.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 116244 + ... + 116332.

Almost surely, 2^10349632 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 10349632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10972800).

10349632 is an abundant number, since it is smaller than the sum of its proper divisors (11595968).

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

10349632 is an equidigital number, since it uses as much as digits as its factorization.

10349632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 10349632 is about 3217.0843942924. The cubic root of 10349632 is about 217.9256262298.

The spelling of 10349632 in words is "ten million, three hundred forty-nine thousand, six hundred thirty-two".