11896080 has 160 divisors (see below), whose sum is σ = 43163904. Its totient is φ = 2654208.

The previous prime is 11896069. The next prime is 11896081. The reversal of 11896080 is 8069811.

It is not an unprimeable number, because it can be changed into a prime (11896081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122592 + ... + 122688.

Almost surely, 2^11896080 is an apocalyptic number.

11896080 is a gapful number since it is divisible by the number (10) 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 11896080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21581952).

11896080 is an abundant number, since it is smaller than the sum of its proper divisors (31267824).

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

11896080 is a wasteful number, since it uses less digits than its factorization.

11896080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 11896080 is about 3449.0694397185. The cubic root of 11896080 is about 228.2800498445.

The spelling of 11896080 in words is "eleven million, eight hundred ninety-six thousand, eighty".