1960000 has 105 divisors (see below), whose sum is σ = 5653659. Its totient is φ = 672000.

The previous prime is 1959973. The next prime is 1960009. The reversal of 1960000 is 691.

The square root of 1960000 is 1400.

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

It can be written as a sum of positive squares in 2 ways, for example, as 153664 + 1806336 = 392^2 + 1344^2 .

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

It is a Duffinian number.

It is a zygodrome in base 7.

It is not an unprimeable number, because it can be changed into a prime (1960009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 279997 + ... + 280003.

2^1960000 is an apocalyptic number.

1960000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1960000 is the 1400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1960000

1960000 is an abundant number, since it is smaller than the sum of its proper divisors (3693659).

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

1960000 is an frugal number, since it uses more digits than its factorization.

1960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The cubic root of 1960000 is about 125.1464949135.

Multiplying 1960000 by its sum of digits (16), we get a square (31360000 = 5600²).

1960000 divided by its sum of digits (16) gives a square (122500 = 350²).

Adding to 1960000 its reverse (691), we get a palindrome (1960691).

The spelling of 1960000 in words is "one million, nine hundred sixty thousand".