11310720 has 128 divisors (see below), whose sum is σ = 37160640. Its totient is φ = 2924544.

The previous prime is 11310709. The next prime is 11310737. The reversal of 11310720 is 2701311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11310720.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82492 + ... + 82628.

Almost surely, 2^11310720 is an apocalyptic number.

11310720 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 11310720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18580320).

11310720 is an abundant number, since it is smaller than the sum of its proper divisors (25849920).

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

11310720 is a wasteful number, since it uses less digits than its factorization.

11310720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 11310720 is about 3363.1413886425. The cubic root of 11310720 is about 224.4726414777.

The spelling of 11310720 in words is "eleven million, three hundred ten thousand, seven hundred twenty".