11934432 has 96 divisors (see below), whose sum is σ = 36691200. Its totient is φ = 3763584.

The previous prime is 11934431. The next prime is 11934443. The reversal of 11934432 is 23443911.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11934396 and 11934405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11934431) by changing a digit.

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, 16053 + ... + 16779.

It is an arithmetic number, because the mean of its divisors is an integer number (382200).

Almost surely, 2^11934432 is an apocalyptic number.

11934432 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 11934432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18345600).

11934432 is an abundant number, since it is smaller than the sum of its proper divisors (24756768).

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

11934432 is a wasteful number, since it uses less digits than its factorization.

11934432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 751 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 11934432 is about 3454.6247263632. The cubic root of 11934432 is about 228.5251054936.

It can be divided in two parts, 1193 and 4432, that added together give a square (5625 = 75²).

The spelling of 11934432 in words is "eleven million, nine hundred thirty-four thousand, four hundred thirty-two".