11880360 has 96 divisors (see below), whose sum is σ = 39316680. Its totient is φ = 3110400.

The previous prime is 11880353. The next prime is 11880361. The reversal of 11880360 is 6308811.

11880360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5560164 + 6320196 = 2358^2 + 2514^2 .

It is a super-2 number, since 2×11880360² = 282285907459200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11880361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21690 + ... + 22230.

Almost surely, 2^11880360 is an apocalyptic number.

11880360 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 11880360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19658340).

11880360 is an abundant number, since it is smaller than the sum of its proper divisors (27436320).

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

11880360 is a wasteful number, since it uses less digits than its factorization.

11880360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 11880360 is about 3446.7898108240. The cubic root of 11880360 is about 228.1794524421.

The spelling of 11880360 in words is "eleven million, eight hundred eighty thousand, three hundred sixty".