864900 has 81 divisors (see below), whose sum is σ = 2801253. Its totient is φ = 223200.

The previous prime is 864887. The next prime is 864901. The reversal of 864900 is 9468.

The square root of 864900 is 930.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 311364 + 553536 = 558^2 + 744^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 864900.

It is not an unprimeable number, because it can be changed into a prime (864901) by changing a digit.

864900 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 26 ways as a sum of consecutive naturals, for example, 27885 + ... + 27915.

2⁸⁶⁴⁹⁰⁰ is an apocalyptic number.

864900 is the 930-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 864900

864900 is an abundant number, since it is smaller than the sum of its proper divisors (1936353).

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

864900 is a wasteful number, since it uses less digits than its factorization.

864900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The cubic root of 864900 is about 95.2771224970.

It can be divided in two parts, 864 and 900, that added together give a square (1764 = 42²).

The spelling of 864900 in words is "eight hundred sixty-four thousand, nine hundred".