11790720 has 192 divisors, whose sum is σ = 42962400. Its totient is φ = 2973696.

The previous prime is 11790683. The next prime is 11790721. The reversal of 11790720 is 2709711.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11790721) 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 23 ways as a sum of consecutive naturals, for example, 132436 + ... + 132524.

Almost surely, 2^11790720 is an apocalyptic number.

11790720 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 11790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481200).

11790720 is an abundant number, since it is smaller than the sum of its proper divisors (31171680).

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

11790720 is a wasteful number, since it uses less digits than its factorization.

11790720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 27.

The square root of 11790720 is about 3433.7617855640. The cubic root of 11790720 is about 227.6041144834.

The spelling of 11790720 in words is "eleven million, seven hundred ninety thousand, seven hundred twenty".