888864 has 48 divisors (see below), whose sum is σ = 2395008. Its totient is φ = 288512.

The previous prime is 888857. The next prime is 888869. The reversal of 888864 is 468888.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (888869) by changing a digit.

888864 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 7 ways as a sum of consecutive naturals, for example, 4414 + ... + 4610.

It is an arithmetic number, because the mean of its divisors is an integer number (49896).

2⁸⁸⁸⁸⁶⁴ 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 888864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197504).

888864 is an abundant number, since it is smaller than the sum of its proper divisors (1506144).

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

888864 is a wasteful number, since it uses less digits than its factorization.

888864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 249 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 888864 is about 942.7958421631. The cubic root of 888864 is about 96.1490739457.

The spelling of 888864 in words is "eight hundred eighty-eight thousand, eight hundred sixty-four".