888264 has 72 divisors (see below), whose sum is σ = 2640690. Its totient is φ = 269568.

The previous prime is 888263. The next prime is 888271. The reversal of 888264 is 462888.

888264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 476100 + 412164 = 690^2 + 642^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (888263) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 12132 + ... + 12204.

2⁸⁸⁸²⁶⁴ 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 888264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1320345).

888264 is an abundant number, since it is smaller than the sum of its proper divisors (1752426).

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

888264 is a wasteful number, since it uses less digits than its factorization.

888264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 888264 is about 942.4775859404. The cubic root of 888264 is about 96.1274349287.

It can be divided in two parts, 888 and 264, that multiplied together give a palindrome (234432).

The spelling of 888264 in words is "eight hundred eighty-eight thousand, two hundred sixty-four".