1966140 has 96 divisors (see below), whose sum is σ = 6693120. Its totient is φ = 475200.

The previous prime is 1966127. The next prime is 1966163. The reversal of 1966140 is 416691.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5775 + ... + 6105.

It is an arithmetic number, because the mean of its divisors is an integer number (69720).

2^1966140 is an apocalyptic number.

1966140 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 1966140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346560).

1966140 is an abundant number, since it is smaller than the sum of its proper divisors (4726980).

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

1966140 is a wasteful number, since it uses less digits than its factorization.

1966140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 1966140 is about 1402.1911424624. The cubic root of 1966140 is about 125.2770388754.

It can be divided in two parts, 19661 and 40, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 1966140 in words is "one million, nine hundred sixty-six thousand, one hundred forty".