1962000 has 120 divisors (see below), whose sum is σ = 6915480. Its totient is φ = 518400.

The previous prime is 1961989. The next prime is 1962001. The reversal of 1962000 is 2691.

It can be written as a sum of positive squares in 4 ways, for example, as 24336 + 1937664 = 156^2 + 1392^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1962001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17946 + ... + 18054.

It is an arithmetic number, because the mean of its divisors is an integer number (57629).

2^1962000 is an apocalyptic number.

1962000 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 1962000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3457740).

1962000 is an abundant number, since it is smaller than the sum of its proper divisors (4953480).

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

1962000 is a wasteful number, since it uses less digits than its factorization.

1962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1962000 is about 1400.7141035915. The cubic root of 1962000 is about 125.1890472782.

Adding to 1962000 its reverse (2691), we get a palindrome (1964691).

The spelling of 1962000 in words is "one million, nine hundred sixty-two thousand".