11556720 has 120 divisors (see below), whose sum is σ = 44375136. Its totient is φ = 2640384.

The previous prime is 11556709. The next prime is 11556737. The reversal of 11556720 is 2765511.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

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, 3894 + ... + 6186.

Almost surely, 2^11556720 is an apocalyptic number.

11556720 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 11556720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22187568).

11556720 is an abundant number, since it is smaller than the sum of its proper divisors (32818416).

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

11556720 is a wasteful number, since it uses less digits than its factorization.

11556720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 11556720 is about 3399.5176128386. The cubic root of 11556720 is about 226.0883566074.

It can be divided in two parts, 1155 and 6720, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 11556720 in words is "eleven million, five hundred fifty-six thousand, seven hundred twenty".