882414 has 40 divisors (see below), whose sum is σ = 2134440. Its totient is φ = 270864.

The previous prime is 882391. The next prime is 882433. The reversal of 882414 is 414288.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

882414 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1897 + ... + 2315.

It is an arithmetic number, because the mean of its divisors is an integer number (53361).

2⁸⁸²⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067220).

882414 is an abundant number, since it is smaller than the sum of its proper divisors (1252026).

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

882414 is a wasteful number, since it uses less digits than its factorization.

882414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 446 (or 437 counting only the distinct ones).

The product of its digits is 2048, while the sum is 27.

The square root of 882414 is about 939.3689371062. The cubic root of 882414 is about 95.9159420450.

It can be divided in two parts, 882 and 414, that added together give a 4-th power (1296 = 6⁴).

The spelling of 882414 in words is "eight hundred eighty-two thousand, four hundred fourteen".