1662958080 has 480 divisors, whose sum is σ = 6885362880. Its totient is φ = 379330560.

The previous prime is 1662958061. The next prime is 1662958097. The reversal of 1662958080 is 808592661.

1662958080 is a `hidden beast` number, since 1 + 6 + 62 + 9 + 580 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3386635 + ... + 3387125.

It is an arithmetic number, because the mean of its divisors is an integer number (14344506).

Almost surely, 2^1662958080 is an apocalyptic number.

1662958080 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 1662958080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442681440).

1662958080 is an abundant number, since it is smaller than the sum of its proper divisors (5222404800).

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

1662958080 is an equidigital number, since it uses as much as digits as its factorization.

1662958080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1662958080 is about 40779.3830262303. The cubic root of 1662958080 is about 1184.7510452817.

The spelling of 1662958080 in words is "one billion, six hundred sixty-two million, nine hundred fifty-eight thousand, eighty".