1966614984 has 128 divisors (see below), whose sum is σ = 5606092800. Its totient is φ = 638487360.

The previous prime is 1966614959. The next prime is 1966614997. The reversal of 1966614984 is 4894166691.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1966614984.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3116349 + ... + 3116979.

It is an arithmetic number, because the mean of its divisors is an integer number (43797600).

Almost surely, 2^1966614984 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 1966614984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803046400).

1966614984 is an abundant number, since it is smaller than the sum of its proper divisors (3639477816).

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

1966614984 is a wasteful number, since it uses less digits than its factorization.

1966614984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 990 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 1966614984 is about 44346.5329422718. The cubic root of 1966614984 is about 1252.8712628831.

The spelling of 1966614984 in words is "one billion, nine hundred sixty-six million, six hundred fourteen thousand, nine hundred eighty-four".