2084864 has 26 divisors (see below), whose sum is σ = 4177410. Its totient is φ = 1040384.

The previous prime is 2084833. The next prime is 2084899. The reversal of 2084864 is 4684802.

2084864 is digitally balanced in base 5, 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 only one way, i.e., 1982464 + 102400 = 1408^2 + 320^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 8.

It is a self number, because there is not a number n which added to its sum of digits gives 2084864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3842 + ... + 4350.

2^2084864 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 2084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2088705).

2084864 is an abundant number, since it is smaller than the sum of its proper divisors (2092546).

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

2084864 is an frugal number, since it uses more digits than its factorization.

2084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 2084864 is about 1443.9058141028. The cubic root of 2084864 is about 127.7495101231.

Adding to 2084864 its product of nonzero digits (12288), we get a 21-st power (2097152 = 2²¹).

The spelling of 2084864 in words is "two million, eighty-four thousand, eight hundred sixty-four".