882064 has 20 divisors (see below), whose sum is σ = 1768860. Its totient is φ = 425600.

The previous prime is 882061. The next prime is 882067. The reversal of 882064 is 460288.

882064 = T₂₃₂ + T₂₃₃ + ... + T₂₆₀.

882064 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 (882061) and next prime (882067).

It can be written as a sum of positive squares in 2 ways, for example, as 242064 + 640000 = 492^2 + 800^2 .

It is not an unprimeable number, because it can be changed into a prime (882061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 487 + ... + 1414.

It is an arithmetic number, because the mean of its divisors is an integer number (88443).

2⁸⁸²⁰⁶⁴ is an apocalyptic number.

It is an amenable number.

882064 is an abundant number, since it is smaller than the sum of its proper divisors (886796).

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

882064 is a wasteful number, since it uses less digits than its factorization.

882064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1932 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 882064 is about 939.1826233486. The cubic root of 882064 is about 95.9032590266.

The spelling of 882064 in words is "eight hundred eighty-two thousand, sixty-four".