882446166 has 96 divisors (see below), whose sum is σ = 2321879040. Its totient is φ = 236452608.

The previous prime is 882446153. The next prime is 882446179. The reversal of 882446166 is 661644288.

882446166 is a `hidden beast` number, since 8 + 8 + 24 + 4 + 616 + 6 = 666.

882446166 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (882446153) and next prime (882446179).

It is a super-2 number, since 2×882446166² = 1557422471776199112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 811275 + ... + 812361.

It is an arithmetic number, because the mean of its divisors is an integer number (24186240).

Almost surely, 2^882446166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882446166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160939520).

882446166 is an abundant number, since it is smaller than the sum of its proper divisors (1439432874).

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

882446166 is a wasteful number, since it uses less digits than its factorization.

882446166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1495 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 882446166 is about 29705.9954554632. The cubic root of 882446166 is about 959.1710748238.

The spelling of 882446166 in words is "eight hundred eighty-two million, four hundred forty-six thousand, one hundred sixty-six".