1668628416 has 224 divisors, whose sum is σ = 5562608128. Its totient is φ = 429649920.

The previous prime is 1668628411. The next prime is 1668628417. The reversal of 1668628416 is 6148268661.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1668628411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 750186 + ... + 752406.

It is an arithmetic number, because the mean of its divisors is an integer number (24833072).

Almost surely, 2^1668628416 is an apocalyptic number.

1668628416 is a gapful number since it is divisible by the number (16) 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 1668628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2781304064).

1668628416 is an abundant number, since it is smaller than the sum of its proper divisors (3893979712).

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

1668628416 is a wasteful number, since it uses less digits than its factorization.

1668628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299 (or 2289 counting only the distinct ones).

The product of its digits is 663552, while the sum is 48.

The square root of 1668628416 is about 40848.8484048204. The cubic root of 1668628416 is about 1186.0961013064.

The spelling of 1668628416 in words is "one billion, six hundred sixty-eight million, six hundred twenty-eight thousand, four hundred sixteen".