821184048 has 160 divisors (see below), whose sum is σ = 2576977920. Its totient is φ = 249246720.

The previous prime is 821184041. The next prime is 821184053. The reversal of 821184048 is 840481128.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (821184041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 225861 + ... + 229467.

It is an arithmetic number, because the mean of its divisors is an integer number (16106112).

Almost surely, 2^821184048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 821184048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1288488960).

821184048 is an abundant number, since it is smaller than the sum of its proper divisors (1755793872).

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

821184048 is a wasteful number, since it uses less digits than its factorization.

821184048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3660 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 821184048 is about 28656.3090435597. The cubic root of 821184048 is about 936.4404567371.

The spelling of 821184048 in words is "eight hundred twenty-one million, one hundred eighty-four thousand, forty-eight".