1961600 has 48 divisors (see below), whose sum is σ = 4853670. Its totient is φ = 783360.

The previous prime is 1961593. The next prime is 1961623. The reversal of 1961600 is 61691.

It can be written as a sum of positive squares in 3 ways, for example, as 760384 + 1201216 = 872^2 + 1096^2 .

It is a zygodrome in base 7.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2894 + ... + 3506.

2^1961600 is an apocalyptic number.

1961600 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 1961600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2426835).

1961600 is an abundant number, since it is smaller than the sum of its proper divisors (2892070).

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

1961600 is an equidigital number, since it uses as much as digits as its factorization.

1961600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 1961600 is about 1400.5713120009. The cubic root of 1961600 is about 125.1805391195.

It can be divided in two parts, 196 and 1600, that multiplied together give a square (313600 = 560²).

The spelling of 1961600 in words is "one million, nine hundred sixty-one thousand, six hundred".