1666293984 has 96 divisors (see below), whose sum is σ = 4868801280. Its totient is φ = 554428800.

The previous prime is 1666293983. The next prime is 1666294013. The reversal of 1666293984 is 4893926661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1666293984² = 5553071282229184512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 1666293984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1666293983) 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, 595629 + ... + 598419.

It is an arithmetic number, because the mean of its divisors is an integer number (50716680).

Almost surely, 2^1666293984 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 1666293984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434400640).

1666293984 is an abundant number, since it is smaller than the sum of its proper divisors (3202507296).

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

1666293984 is a wasteful number, since it uses less digits than its factorization.

1666293984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3501 (or 3487 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1666293984 is about 40820.2643793496. The cubic root of 1666293984 is about 1185.5427220767.

The spelling of 1666293984 in words is "one billion, six hundred sixty-six million, two hundred ninety-three thousand, nine hundred eighty-four".