11882880 has 96 divisors (see below), whose sum is σ = 41052960. Its totient is φ = 3167232.

The previous prime is 11882873. The next prime is 11882903. The reversal of 11882880 is 8828811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4729 + ... + 6791.

It is an arithmetic number, because the mean of its divisors is an integer number (427635).

Almost surely, 2^11882880 is an apocalyptic number.

11882880 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 11882880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20526480).

11882880 is an abundant number, since it is smaller than the sum of its proper divisors (29170080).

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

11882880 is a wasteful number, since it uses less digits than its factorization.

11882880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2088 (or 2073 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 11882880 is about 3447.1553489798. The cubic root of 11882880 is about 228.1955847133.

It can be divided in two parts, 1 and 1882880, that added together give a palindrome (1882881).

The spelling of 11882880 in words is "eleven million, eight hundred eighty-two thousand, eight hundred eighty".