1966727544 has 96 divisors (see below), whose sum is σ = 5356915200. Its totient is φ = 599425920.

The previous prime is 1966727531. The next prime is 1966727599. The reversal of 1966727544 is 4457276691.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5272542 + ... + 5272914.

It is an arithmetic number, because the mean of its divisors is an integer number (55801200).

Almost surely, 2^1966727544 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 1966727544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678457600).

1966727544 is an abundant number, since it is smaller than the sum of its proper divisors (3390187656).

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

1966727544 is a wasteful number, since it uses less digits than its factorization.

1966727544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 428 counting only the distinct ones).

The product of its digits is 2540160, while the sum is 51.

The square root of 1966727544 is about 44347.8020199423. The cubic root of 1966727544 is about 1252.8951652907.

The spelling of 1966727544 in words is "one billion, nine hundred sixty-six million, seven hundred twenty-seven thousand, five hundred forty-four".