1962500 has 36 divisors (see below), whose sum is σ = 4320036. Its totient is φ = 780000.

The previous prime is 1962473. The next prime is 1962503. The reversal of 1962500 is 52691.

It can be written as a sum of positive squares in 6 ways, for example, as 1763584 + 198916 = 1328^2 + 446^2 .

It is not an unprimeable number, because it can be changed into a prime (1962503) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12422 + ... + 12578.

It is an arithmetic number, because the mean of its divisors is an integer number (120001).

2^1962500 is an apocalyptic number.

1962500 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 1962500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2160018).

1962500 is an abundant number, since it is smaller than the sum of its proper divisors (2357536).

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

1962500 is an equidigital number, since it uses as much as digits as its factorization.

1962500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1962500 is about 1400.8925726122. The cubic root of 1962500 is about 125.1996808506.

It can be divided in two parts, 196 and 2500, that multiplied together give a square (490000 = 700²).

The spelling of 1962500 in words is "one million, nine hundred sixty-two thousand, five hundred".