1920000 has 110 divisors (see below), whose sum is σ = 6394828. Its totient is φ = 512000.

The previous prime is 1919987. The next prime is 1920001. The reversal of 1920000 is 291.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1920001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 383998 + ... + 384002.

2^1920000 is an apocalyptic number.

1920000 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 1920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3197414).

1920000 is an abundant number, since it is smaller than the sum of its proper divisors (4474828).

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

1920000 is an frugal number, since it uses more digits than its factorization.

1920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1920000 is about 1385.6406460551. The cubic root of 1920000 is about 124.2893002382.

Multiplying 1920000 by its sum of digits (12), we get a square (23040000 = 4800²).

1920000 divided by its sum of digits (12) gives a 4-th power (160000 = 20⁴).

Adding to 1920000 its reverse (291), we get a palindrome (1920291).

The spelling of 1920000 in words is "one million, nine hundred twenty thousand".