11864096 has 48 divisors (see below), whose sum is σ = 25079544. Its totient is φ = 5505024.

The previous prime is 11864089. The next prime is 11864107. The reversal of 11864096 is 69046811.

It can be written as a sum of positive squares in 4 ways, for example, as 6864400 + 4999696 = 2620^2 + 2236^2 .

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 7 ways as a sum of consecutive naturals, for example, 61376 + ... + 61568.

Almost surely, 2^11864096 is an apocalyptic number.

11864096 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 11864096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12539772).

11864096 is an abundant number, since it is smaller than the sum of its proper divisors (13215448).

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

11864096 is a wasteful number, since it uses less digits than its factorization.

11864096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 11864096 is about 3444.4297060617. The cubic root of 11864096 is about 228.0752803635.

The spelling of 11864096 in words is "eleven million, eight hundred sixty-four thousand, ninety-six".