11920896 has 120 divisors (see below), whose sum is σ = 37237200. Its totient is φ = 3649536.

The previous prime is 11920871. The next prime is 11920897. The reversal of 11920896 is 69802911.

It is a super-2 number, since 2×11920896² = 284215522885632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11920896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11920897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59805 + ... + 60003.

It is an arithmetic number, because the mean of its divisors is an integer number (310310).

Almost surely, 2^11920896 is an apocalyptic number.

11920896 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 11920896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18618600).

11920896 is an abundant number, since it is smaller than the sum of its proper divisors (25316304).

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

11920896 is a wasteful number, since it uses less digits than its factorization.

11920896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 11920896 is about 3452.6650576041. The cubic root of 11920896 is about 228.4386752934.

The spelling of 11920896 in words is "eleven million, nine hundred twenty thousand, eight hundred ninety-six".