1668591120 has 480 divisors, whose sum is σ = 6513868800. Its totient is φ = 351267840.

The previous prime is 1668591107. The next prime is 1668591131. The reversal of 1668591120 is 211958661.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8384781 + ... + 8384979.

It is an arithmetic number, because the mean of its divisors is an integer number (13570560).

Almost surely, 2^1668591120 is an apocalyptic number.

1668591120 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 1668591120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3256934400).

1668591120 is an abundant number, since it is smaller than the sum of its proper divisors (4845277680).

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

1668591120 is a wasteful number, since it uses less digits than its factorization.

1668591120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 1668591120 is about 40848.3918900120. The cubic root of 1668591120 is about 1186.0872643140.

The spelling of 1668591120 in words is "one billion, six hundred sixty-eight million, five hundred ninety-one thousand, one hundred twenty".