11842880 has 112 divisors (see below), whose sum is σ = 34235136. Its totient is φ = 3809280.

The previous prime is 11842879. The next prime is 11842921. The reversal of 11842880 is 8824811.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

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, 37925 + ... + 38235.

Almost surely, 2^11842880 is an apocalyptic number.

11842880 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 11842880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17117568).

11842880 is an abundant number, since it is smaller than the sum of its proper divisors (22392256).

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

11842880 is a wasteful number, since it uses less digits than its factorization.

11842880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 32.

The square root of 11842880 is about 3441.3485728708. The cubic root of 11842880 is about 227.9392471763.

The spelling of 11842880 in words is "eleven million, eight hundred forty-two thousand, eight hundred eighty".