1659420672 has 360 divisors, whose sum is σ = 5647982256. Its totient is φ = 429391872.

The previous prime is 1659420667. The next prime is 1659420739. The reversal of 1659420672 is 2760249561.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31309798 + ... + 31309850.

Almost surely, 2^1659420672 is an apocalyptic number.

1659420672 is a gapful number since it is divisible by the number (12) 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 1659420672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823991128).

1659420672 is an abundant number, since it is smaller than the sum of its proper divisors (3988561584).

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

1659420672 is an equidigital number, since it uses as much as digits as its factorization.

1659420672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 1659420672 is about 40735.9874312628. The cubic root of 1659420672 is about 1183.9103901015.

The spelling of 1659420672 in words is "one billion, six hundred fifty-nine million, four hundred twenty thousand, six hundred seventy-two".