11523880 has 64 divisors (see below), whose sum is σ = 27864000. Its totient is φ = 4276224.

The previous prime is 11523877. The next prime is 11523887. The reversal of 11523880 is 8832511.

It is not an unprimeable number, because it can be changed into a prime (11523887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44712 + ... + 44968.

It is an arithmetic number, because the mean of its divisors is an integer number (435375).

Almost surely, 2^11523880 is an apocalyptic number.

11523880 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 11523880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932000).

11523880 is an abundant number, since it is smaller than the sum of its proper divisors (16340120).

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

11523880 is a wasteful number, since it uses less digits than its factorization.

11523880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 11523880 is about 3394.6840795573. The cubic root of 11523880 is about 225.8739997783.

It can be divided in two parts, 11523 and 880, that added together give a triangular number (12403 = T₁₅₇).

The spelling of 11523880 in words is "eleven million, five hundred twenty-three thousand, eight hundred eighty".