864512 has 36 divisors (see below), whose sum is σ = 1888656. Its totient is φ = 391680.

The previous prime is 864511. The next prime is 864533. The reversal of 864512 is 215468.

Its product of digits (1920) is a multiple of the sum of its prime divisors (320).

It is a plaindrome in base 9.

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (864511) 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, 2663 + ... + 2969.

2⁸⁶⁴⁵¹² 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 864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944328).

864512 is an abundant number, since it is smaller than the sum of its proper divisors (1024144).

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

864512 is a wasteful number, since it uses less digits than its factorization.

864512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 320 counting only the distinct ones).

The product of its digits is 1920, while the sum is 26.

The square root of 864512 is about 929.7913744491. The cubic root of 864512 is about 95.2628730451.

It can be divided in two parts, 8645 and 12, that multiplied together give a triangular number (103740 = T₄₅₅).

The spelling of 864512 in words is "eight hundred sixty-four thousand, five hundred twelve".