1668107520 has 432 divisors, whose sum is σ = 6214021632. Its totient is φ = 427991040.

The previous prime is 1668107491. The next prime is 1668107629. The reversal of 1668107520 is 257018661.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9642154 + ... + 9642326.

Almost surely, 2^1668107520 is an apocalyptic number.

1668107520 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 1668107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107010816).

1668107520 is an abundant number, since it is smaller than the sum of its proper divisors (4545914112).

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

1668107520 is an equidigital number, since it uses as much as digits as its factorization.

1668107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1668107520 is about 40842.4720113756. The cubic root of 1668107520 is about 1185.9726671913.

The spelling of 1668107520 in words is "one billion, six hundred sixty-eight million, one hundred seven thousand, five hundred twenty".