1966867000 has 128 divisors (see below), whose sum is σ = 5441904000. Its totient is φ = 651033600.

The previous prime is 1966866989. The next prime is 1966867043. The reversal of 1966867000 is 7686691.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 198156 + ... + 207844.

It is an arithmetic number, because the mean of its divisors is an integer number (42514875).

Almost surely, 2^1966867000 is an apocalyptic number.

1966867000 is a gapful number since it is divisible by the number (10) 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 1966867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2720952000).

1966867000 is an abundant number, since it is smaller than the sum of its proper divisors (3475037000).

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

1966867000 is a wasteful number, since it uses less digits than its factorization.

1966867000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9746 (or 9732 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 43.

The square root of 1966867000 is about 44349.3742909638. The cubic root of 1966867000 is about 1252.9247778687.

It can be divided in two parts, 19668 and 67000, that added together give a palindrome (86668).

The spelling of 1966867000 in words is "one billion, nine hundred sixty-six million, eight hundred sixty-seven thousand".