11822880 has 48 divisors (see below), whose sum is σ = 37243584. Its totient is φ = 3152640.

The previous prime is 11822857. The next prime is 11822911. The reversal of 11822880 is 8822811.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11836 + ... + 12795.

It is an arithmetic number, because the mean of its divisors is an integer number (775908).

Almost surely, 2^11822880 is an apocalyptic number.

11822880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11822880 is an abundant number, since it is smaller than the sum of its proper divisors (25420704).

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

11822880 is a wasteful number, since it uses less digits than its factorization.

11822880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24649 (or 24641 counting only the distinct ones).

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

The square root of 11822880 is about 3438.4415074275. The cubic root of 11822880 is about 227.8108619183.

The spelling of 11822880 in words is "eleven million, eight hundred twenty-two thousand, eight hundred eighty".