11840880 has 80 divisors (see below), whose sum is σ = 37140480. Its totient is φ = 3120384.

The previous prime is 11840861. The next prime is 11840911. The reversal of 11840880 is 8804811.

11840880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 24481 + ... + 24959.

It is an arithmetic number, because the mean of its divisors is an integer number (464256).

Almost surely, 2^11840880 is an apocalyptic number.

11840880 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 11840880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18570240).

11840880 is an abundant number, since it is smaller than the sum of its proper divisors (25299600).

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

11840880 is a wasteful number, since it uses less digits than its factorization.

11840880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 30.

The square root of 11840880 is about 3441.0579768437. The cubic root of 11840880 is about 227.9264151580.

It can be divided in two parts, 11840 and 880, that added together give a triangular number (12720 = T₁₅₉).

The spelling of 11840880 in words is "eleven million, eight hundred forty thousand, eight hundred eighty".