1966406892 has 24 divisors (see below), whose sum is σ = 4635587376. Its totient is φ = 648711168.

The previous prime is 1966406891. The next prime is 1966406909. The reversal of 1966406892 is 2986046691.

It is not an unprimeable number, because it can be changed into a prime (1966406891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 843513 + ... + 845840.

It is an arithmetic number, because the mean of its divisors is an integer number (193149474).

Almost surely, 2^1966406892 is an apocalyptic number.

1966406892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1966406892 is an abundant number, since it is smaller than the sum of its proper divisors (2669180484).

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

1966406892 is a wasteful number, since it uses less digits than its factorization.

1966406892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1689457 (or 1689455 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 1966406892 is about 44344.1866764968. The cubic root of 1966406892 is about 1252.8270716060.

The spelling of 1966406892 in words is "one billion, nine hundred sixty-six million, four hundred six thousand, eight hundred ninety-two".