11912832 has 96 divisors (see below), whose sum is σ = 35642880. Its totient is φ = 3960576.

The previous prime is 11912821. The next prime is 11912839. The reversal of 11912832 is 23821911.

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 and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11912796 and 11912805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11912839) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30913 + ... + 31295.

It is an arithmetic number, because the mean of its divisors is an integer number (371280).

Almost surely, 2^11912832 is an apocalyptic number.

11912832 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 11912832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17821440).

11912832 is an abundant number, since it is smaller than the sum of its proper divisors (23730048).

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

11912832 is an frugal number, since it uses more digits than its factorization.

11912832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 388 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 11912832 is about 3451.4970664916. The cubic root of 11912832 is about 228.3871538583.

The spelling of 11912832 in words is "eleven million, nine hundred twelve thousand, eight hundred thirty-two".