882466624 has 84 divisors (see below), whose sum is σ = 1921008096. Its totient is φ = 401975808.

The previous prime is 882466621. The next prime is 882466633. The reversal of 882466624 is 426664288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (882466621) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 897237 + ... + 898219.

It is an arithmetic number, because the mean of its divisors is an integer number (22869144).

Almost surely, 2^882466624 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 882466624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960504048).

882466624 is an abundant number, since it is smaller than the sum of its proper divisors (1038541472).

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

882466624 is a wasteful number, since it uses less digits than its factorization.

882466624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1081 counting only the distinct ones).

The product of its digits is 884736, while the sum is 46.

The square root of 882466624 is about 29706.3397947307. The cubic root of 882466624 is about 959.1784870116.

The spelling of 882466624 in words is "eight hundred eighty-two million, four hundred sixty-six thousand, six hundred twenty-four".