11896320 has 80 divisors (see below), whose sum is σ = 38055600. Its totient is φ = 3170304.

The previous prime is 11896303. The next prime is 11896331. The reversal of 11896320 is 2369811.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6906 + ... + 8454.

It is an arithmetic number, because the mean of its divisors is an integer number (475695).

Almost surely, 2^11896320 is an apocalyptic number.

11896320 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 11896320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19027800).

11896320 is an abundant number, since it is smaller than the sum of its proper divisors (26159280).

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

11896320 is an equidigital number, since it uses as much as digits as its factorization.

11896320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 11896320 is about 3449.1042315361. The cubic root of 11896320 is about 228.2815849956.

The spelling of 11896320 in words is "eleven million, eight hundred ninety-six thousand, three hundred twenty".