880821 has 32 divisors (see below), whose sum is σ = 1468800. Its totient is φ = 518400.

The previous prime is 880819. The next prime is 880823. The reversal of 880821 is 128088.

It is an interprime number because it is at equal distance from previous prime (880819) and next prime (880823).

It is not a de Polignac number, because 880821 - 2¹ = 880819 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (880823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8671 + ... + 8771.

It is an arithmetic number, because the mean of its divisors is an integer number (45900).

2⁸⁸⁰⁸²¹ is an apocalyptic number.

It is an amenable number.

880821 is a deficient number, since it is larger than the sum of its proper divisors (587979).

880821 is a wasteful number, since it uses less digits than its factorization.

880821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 880821 is about 938.5206444187. The cubic root of 880821 is about 95.8581890579.

880821 divided by its sum of digits (27) gives a palindrome (32623).

The spelling of 880821 in words is "eight hundred eighty thousand, eight hundred twenty-one".