1864000 has 56 divisors (see below), whose sum is σ = 4636008. Its totient is φ = 742400.

The previous prime is 1863997. The next prime is 1864001. The reversal of 1864000 is 4681.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 1617984 = 496^2 + 1272^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1864001) 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, 7884 + ... + 8116.

2^1864000 is an apocalyptic number.

1864000 is a gapful number since it is divisible by the number (10) 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 1864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318004).

1864000 is an abundant number, since it is smaller than the sum of its proper divisors (2772008).

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

1864000 is an equidigital number, since it uses as much as digits as its factorization.

1864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 1864000 is about 1365.2838532701. The cubic root of 1864000 is about 123.0689898733.

Adding to 1864000 its reverse (4681), we get a palindrome (1868681).

It can be divided in two parts, 186 and 4000, that added together give a triangular number (4186 = T₉₁).

The spelling of 1864000 in words is "one million, eight hundred sixty-four thousand".