11951632 has 80 divisors (see below), whose sum is σ = 29462400. Its totient is φ = 4561920.

The previous prime is 11951609. The next prime is 11951699. The reversal of 11951632 is 23615911.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11951632.

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 15 ways as a sum of consecutive naturals, for example, 109594 + ... + 109702.

It is an arithmetic number, because the mean of its divisors is an integer number (368280).

Almost surely, 2^11951632 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 11951632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14731200).

11951632 is an abundant number, since it is smaller than the sum of its proper divisors (17510768).

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

11951632 is a wasteful number, since it uses less digits than its factorization.

11951632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 218 counting only the distinct ones).

The product of its digits is 1620, while the sum is 28.

The square root of 11951632 is about 3457.1132466264. The cubic root of 11951632 is about 228.6348368725.

The spelling of 11951632 in words is "eleven million, nine hundred fifty-one thousand, six hundred thirty-two".