1966437792 has 216 divisors, whose sum is σ = 6238902852. Its totient is φ = 586967040.

The previous prime is 1966437791. The next prime is 1966437827. The reversal of 1966437792 is 2977346691.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1863130896 + 103306896 = 43164^2 + 10164^2 .

It is not an unprimeable number, because it can be changed into a prime (1966437791) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2543518 + ... + 2544290.

Almost surely, 2^1966437792 is an apocalyptic number.

1966437792 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 1966437792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3119451426).

1966437792 is an abundant number, since it is smaller than the sum of its proper divisors (4272465060).

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

1966437792 is a wasteful number, since it uses less digits than its factorization.

1966437792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 862 counting only the distinct ones).

The product of its digits is 3429216, while the sum is 54.

The square root of 1966437792 is about 44344.5350860735. The cubic root of 1966437792 is about 1252.8336338548.

The spelling of 1966437792 in words is "one billion, nine hundred sixty-six million, four hundred thirty-seven thousand, seven hundred ninety-two".