11896720 has 60 divisors (see below), whose sum is σ = 30427740. Its totient is φ = 4322560.

The previous prime is 11896673. The next prime is 11896723. The reversal of 11896720 is 2769811.

11896720 = T₄₀₉ + T₄₁₀ + ... + T₅₁₈.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8952064 + 2944656 = 2992^2 + 1716^2 .

It is not an unprimeable number, because it can be changed into a prime (11896723) 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 11 ways as a sum of consecutive naturals, for example, 9066 + ... + 10294.

It is an arithmetic number, because the mean of its divisors is an integer number (507129).

Almost surely, 2^11896720 is an apocalyptic number.

11896720 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 11896720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15213870).

11896720 is an abundant number, since it is smaller than the sum of its proper divisors (18531020).

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

11896720 is a wasteful number, since it uses less digits than its factorization.

11896720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 34.

The square root of 11896720 is about 3449.1622171188. The cubic root of 11896720 is about 228.2841435350.

The spelling of 11896720 in words is "eleven million, eight hundred ninety-six thousand, seven hundred twenty".