11897760 has 96 divisors (see below), whose sum is σ = 42844032. Its totient is φ = 2718720.

The previous prime is 11897747. The next prime is 11897761. The reversal of 11897760 is 6779811.

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

It is not an unprimeable number, because it can be changed into a prime (11897761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1590 + ... + 5130.

It is an arithmetic number, because the mean of its divisors is an integer number (446292).

Almost surely, 2^11897760 is an apocalyptic number.

11897760 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 11897760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21422016).

11897760 is an abundant number, since it is smaller than the sum of its proper divisors (30946272).

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

11897760 is a wasteful number, since it uses less digits than its factorization.

11897760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3566 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 11897760 is about 3449.3129750720. The cubic root of 11897760 is about 228.2907954691.

The spelling of 11897760 in words is "eleven million, eight hundred ninety-seven thousand, seven hundred sixty".