882690048 has 240 divisors, whose sum is σ = 2800537740. Its totient is φ = 276037632.

The previous prime is 882690047. The next prime is 882690059. The reversal of 882690048 is 840096288.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 846111744 + 36578304 = 29088^2 + 6048^2 .

It is a junction number, because it is equal to n+sod(n) for n = 882689985 and 882690012.

It is not an unprimeable number, because it can be changed into a prime (882690047) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2819940 + ... + 2820252.

Almost surely, 2^882690048 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 882690048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400268870).

882690048 is an abundant number, since it is smaller than the sum of its proper divisors (1917847692).

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

882690048 is a wasteful number, since it uses less digits than its factorization.

882690048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 882690048 is about 29710.1001008075. The cubic root of 882690048 is about 959.2594288494.

The spelling of 882690048 in words is "eight hundred eighty-two million, six hundred ninety thousand, forty-eight".