882860160 has 512 divisors, whose sum is σ = 3597189120. Its totient is φ = 179159040.

The previous prime is 882860159. The next prime is 882860161. The reversal of 882860160 is 61068288.

It is an interprime number because it is at equal distance from previous prime (882860159) and next prime (882860161).

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

It is not an unprimeable number, because it can be changed into a prime (882860161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5416239 + ... + 5416401.

It is an arithmetic number, because the mean of its divisors is an integer number (7025760).

Almost surely, 2^882860160 is an apocalyptic number.

882860160 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 882860160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1798594560).

882860160 is an abundant number, since it is smaller than the sum of its proper divisors (2714328960).

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

882860160 is a wasteful number, since it uses less digits than its factorization.

882860160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 882860160 is about 29712.9628276953. The cubic root of 882860160 is about 959.3210477074.

The spelling of 882860160 in words is "eight hundred eighty-two million, eight hundred sixty thousand, one hundred sixty".