1966656000 has 160 divisors (see below), whose sum is σ = 6539277888. Its totient is φ = 524390400.

The previous prime is 1966655987. The next prime is 1966656007. The reversal of 1966656000 is 6566691.

It is a tau number, because it is divible by the number of its divisors (160).

It is a self number, because there is not a number n which added to its sum of digits gives 1966656000.

It is not an unprimeable number, because it can be changed into a prime (1966656007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186879 + ... + 197121.

Almost surely, 2^1966656000 is an apocalyptic number.

1966656000 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 1966656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3269638944).

1966656000 is an abundant number, since it is smaller than the sum of its proper divisors (4572621888).

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

1966656000 is an equidigital number, since it uses as much as digits as its factorization.

1966656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10279 (or 10253 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1966656000 is about 44346.9953886394. The cubic root of 1966656000 is about 1252.8799728425.

The spelling of 1966656000 in words is "one billion, nine hundred sixty-six million, six hundred fifty-six thousand".