11890648 has 64 divisors (see below), whose sum is σ = 28224000. Its totient is φ = 4561920.

The previous prime is 11890643. The next prime is 11890657. The reversal of 11890648 is 84609811.

It is a happy number.

It is a super-3 number, since 3×11890648³ (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11890643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59653 + ... + 59851.

It is an arithmetic number, because the mean of its divisors is an integer number (441000).

Almost surely, 2^11890648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11890648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112000).

11890648 is an abundant number, since it is smaller than the sum of its proper divisors (16333352).

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

11890648 is a wasteful number, since it uses less digits than its factorization.

11890648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 11890648 is about 3448.2818910292. The cubic root of 11890648 is about 228.2452987327.

The spelling of 11890648 in words is "eleven million, eight hundred ninety thousand, six hundred forty-eight".