11384832 has 96 divisors (see below), whose sum is σ = 32432400. Its totient is φ = 3538944.

The previous prime is 11384831. The next prime is 11384833. The reversal of 11384832 is 23848311.

It is an interprime number because it is at equal distance from previous prime (11384831) and next prime (11384833).

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

It is a super-2 number, since 2×11384832² = 259228799336448, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11384832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11384831) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104394 + ... + 104502.

Almost surely, 2^11384832 is an apocalyptic number.

11384832 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 11384832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16216200).

11384832 is an abundant number, since it is smaller than the sum of its proper divisors (21047568).

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

11384832 is a wasteful number, since it uses less digits than its factorization.

11384832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 11384832 is about 3374.1416686322. The cubic root of 11384832 is about 224.9618503221.

The spelling of 11384832 in words is "eleven million, three hundred eighty-four thousand, eight hundred thirty-two".