11882496 has 52 divisors (see below), whose sum is σ = 31715552. Its totient is φ = 3956736.

The previous prime is 11882483. The next prime is 11882503. The reversal of 11882496 is 69428811.

It is a super-2 number, since 2×11882496² = 282387422380032, which contains 22 as substring.

It is a nialpdrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 11805 + ... + 12771.

Almost surely, 2^11882496 is an apocalyptic number.

11882496 is a gapful number since it is divisible by the number (16) 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 11882496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857776).

11882496 is an abundant number, since it is smaller than the sum of its proper divisors (19833056).

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

11882496 is an frugal number, since it uses more digits than its factorization.

11882496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 972 counting only the distinct ones).

The product of its digits is 27648, while the sum is 39.

The square root of 11882496 is about 3447.0996504308. The cubic root of 11882496 is about 228.1931266097.

The spelling of 11882496 in words is "eleven million, eight hundred eighty-two thousand, four hundred ninety-six".