1966020 has 96 divisors (see below), whose sum is σ = 6537216. Its totient is φ = 432000.

The previous prime is 1966009. The next prime is 1966031. The reversal of 1966020 is 206691.

It is an interprime number because it is at equal distance from previous prime (1966009) and next prime (1966031).

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, 12945 + ... + 13095.

It is an arithmetic number, because the mean of its divisors is an integer number (68096).

2^1966020 is an apocalyptic number.

1966020 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 1966020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3268608).

1966020 is an abundant number, since it is smaller than the sum of its proper divisors (4571196).

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

1966020 is a wasteful number, since it uses less digits than its factorization.

1966020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 1966020 is about 1402.1483516376. The cubic root of 1966020 is about 125.2744901335.

It can be divided in two parts, 196 and 6020, that added together give a triangular number (6216 = T₁₁₁).

The spelling of 1966020 in words is "one million, nine hundred sixty-six thousand, twenty".