1966536 has 96 divisors (see below), whose sum is σ = 6289920. Its totient is φ = 547200.

The previous prime is 1966511. The next prime is 1966561. The reversal of 1966536 is 6356691.

It is an interprime number because it is at equal distance from previous prime (1966511) and next prime (1966561).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 1 + 9² + 6³ + 6⁷ + 5³ + 3⁸ + 6⁸ .

It is a self number, because there is not a number n which added to its sum of digits gives 1966536.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10201 + ... + 10391.

It is an arithmetic number, because the mean of its divisors is an integer number (65520).

2^1966536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1966536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144960).

1966536 is an abundant number, since it is smaller than the sum of its proper divisors (4323384).

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

1966536 is a wasteful number, since it uses less digits than its factorization.

1966536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 220 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 1966536 is about 1402.3323429202. The cubic root of 1966536 is about 125.2854489881.

It can be divided in two parts, 19665 and 36, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 1966536 in words is "one million, nine hundred sixty-six thousand, five hundred thirty-six".