10993632 has 96 divisors (see below), whose sum is σ = 32514048. Its totient is φ = 3227136.

The previous prime is 10993607. The next prime is 10993637. The reversal of 10993632 is 23639901.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 10993593 and 10993602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10993637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28513 + ... + 28895.

It is an arithmetic number, because the mean of its divisors is an integer number (338688).

Almost surely, 2^10993632 is an apocalyptic number.

10993632 is a gapful number since it is divisible by the number (12) 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 10993632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257024).

10993632 is an abundant number, since it is smaller than the sum of its proper divisors (21520416).

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

10993632 is a wasteful number, since it uses less digits than its factorization.

10993632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 33.

The square root of 10993632 is about 3315.6646392541. The cubic root of 10993632 is about 222.3550846964.

The spelling of 10993632 in words is "ten million, nine hundred ninety-three thousand, six hundred thirty-two".