869088 has 48 divisors (see below), whose sum is σ = 2491776. Its totient is φ = 263040.

The previous prime is 869081. The next prime is 869119. The reversal of 869088 is 880968.

869088 = T₃₉₂ + T₃₉₃ + ... + T₄₀₂.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (869081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 645 + ... + 1467.

It is an arithmetic number, because the mean of its divisors is an integer number (51912).

2⁸⁶⁹⁰⁸⁸ is an apocalyptic number.

869088 is a gapful number since it is divisible by the number (88) 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 869088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245888).

869088 is an abundant number, since it is smaller than the sum of its proper divisors (1622688).

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

869088 is a wasteful number, since it uses less digits than its factorization.

869088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 869088 is about 932.2488938047. The cubic root of 869088 is about 95.4306578857.

It can be divided in two parts, 8690 and 88, that added together give a palindrome (8778).

The spelling of 869088 in words is "eight hundred sixty-nine thousand, eighty-eight".