1384000 has 56 divisors (see below), whose sum is σ = 3447288. Its totient is φ = 550400.

The previous prime is 1383983. The next prime is 1384013. The reversal of 1384000 is 4831.

It can be written as a sum of positive squares in 4 ways, for example, as 1024 + 1382976 = 32^2 + 1176^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7914 + ... + 8086.

2^1384000 is an apocalyptic number.

1384000 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 1384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723644).

1384000 is an abundant number, since it is smaller than the sum of its proper divisors (2063288).

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

1384000 is an equidigital number, since it uses as much as digits as its factorization.

1384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1384000 is about 1176.4352935882. The cubic root of 1384000 is about 111.4410931109.

Adding to 1384000 its reverse (4831), we get a palindrome (1388831).

The spelling of 1384000 in words is "one million, three hundred eighty-four thousand".