1968100 has 18 divisors (see below), whose sum is σ = 4270994. Its totient is φ = 787200.

The previous prime is 1968079. The next prime is 1968103. The reversal of 1968100 is 18691.

It can be written as a sum of positive squares in 3 ways, for example, as 589824 + 1378276 = 768^2 + 1174^2 .

It is a super-2 number, since 2×1968100² = 7746835220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1968103) by changing a digit.

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, 9741 + ... + 9940.

2^1968100 is an apocalyptic number.

1968100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1968100 is an abundant number, since it is smaller than the sum of its proper divisors (2302894).

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

1968100 is a wasteful number, since it uses less digits than its factorization.

1968100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19695 (or 19688 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 1968100 is about 1402.8898745090. The cubic root of 1968100 is about 125.3186536552.

It can be divided in two parts, 196 and 8100, that multiplied together give a square (1587600 = 1260²).

The spelling of 1968100 in words is "one million, nine hundred sixty-eight thousand, one hundred".