1966392 has 48 divisors (see below), whose sum is σ = 5503680. Its totient is φ = 633600.

The previous prime is 1966387. The next prime is 1966397. The reversal of 1966392 is 2936691.

1966392 is a `hidden beast` number, since 19 + 6 + 639 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1966387) and next prime (1966397).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1966397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1792 + ... + 2672.

It is an arithmetic number, because the mean of its divisors is an integer number (114660).

2^1966392 is an apocalyptic number.

1966392 is a gapful number since it is divisible by the number (12) 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 1966392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751840).

1966392 is an abundant number, since it is smaller than the sum of its proper divisors (3537288).

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

1966392 is a wasteful number, since it uses less digits than its factorization.

1966392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 917 counting only the distinct ones).

The product of its digits is 17496, while the sum is 36.

The square root of 1966392 is about 1402.2809989442. The cubic root of 1966392 is about 125.2823908960.

Subtracting 1966392 from its reverse (2936691), we obtain a cube (970299 = 99³).

The spelling of 1966392 in words is "one million, nine hundred sixty-six thousand, three hundred ninety-two".