882126336 has 160 divisors (see below), whose sum is σ = 2892814848. Its totient is φ = 232611840.

The previous prime is 882126331. The next prime is 882126347. The reversal of 882126336 is 633621288.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 882126294 and 882126303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882126331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136621 + ... + 142931.

Almost surely, 2^882126336 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 882126336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446407424).

882126336 is an abundant number, since it is smaller than the sum of its proper divisors (2010688512).

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

882126336 is a wasteful number, since it uses less digits than its factorization.

882126336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6352 (or 6336 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 882126336 is about 29700.6117108722. The cubic root of 882126336 is about 959.0551815392.

The spelling of 882126336 in words is "eight hundred eighty-two million, one hundred twenty-six thousand, three hundred thirty-six".