1966100 has 18 divisors (see below), whose sum is σ = 4266654. Its totient is φ = 786400.

The previous prime is 1966079. The next prime is 1966123. The reversal of 1966100 is 16691.

It can be written as a sum of positive squares in 3 ways, for example, as 148996 + 1817104 = 386^2 + 1348^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9731 + ... + 9930.

2^1966100 is an apocalyptic number.

1966100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1966100 is an abundant number, since it is smaller than the sum of its proper divisors (2300554).

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

1966100 is a wasteful number, since it uses less digits than its factorization.

1966100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19675 (or 19668 counting only the distinct ones).

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

The square root of 1966100 is about 1402.1768789992. The cubic root of 1966100 is about 125.2761893063.

The spelling of 1966100 in words is "one million, nine hundred sixty-six thousand, one hundred".