882004640 has 48 divisors (see below), whose sum is σ = 2273171040. Its totient is φ = 320728320.

The previous prime is 882004603. The next prime is 882004649. The reversal of 882004640 is 46400288.

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

It is a junction number, because it is equal to n+sod(n) for n = 882004597 and 882004606.

It is not an unprimeable number, because it can be changed into a prime (882004649) 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 7 ways as a sum of consecutive naturals, for example, 248810 + ... + 252329.

It is an arithmetic number, because the mean of its divisors is an integer number (47357730).

Almost surely, 2^882004640 is an apocalyptic number.

882004640 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

882004640 is an abundant number, since it is smaller than the sum of its proper divisors (1391166400).

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

882004640 is a wasteful number, since it uses less digits than its factorization.

882004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501165 (or 501157 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 882004640 is about 29698.5629281957. The cubic root of 882004640 is about 959.0110765389.

The spelling of 882004640 in words is "eight hundred eighty-two million, four thousand, six hundred forty".