1662716160 has 720 divisors, whose sum is σ = 7122931200. Its totient is φ = 362299392.

The previous prime is 1662716147. The next prime is 1662716191. The reversal of 1662716160 is 616172661.

1662716160 is a `hidden beast` number, since 1 + 6 + 627 + 16 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21047001 + ... + 21047079.

It is an arithmetic number, because the mean of its divisors is an integer number (9892960).

Almost surely, 2^1662716160 is an apocalyptic number.

1662716160 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 1662716160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561465600).

1662716160 is an abundant number, since it is smaller than the sum of its proper divisors (5460215040).

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

1662716160 is an equidigital number, since it uses as much as digits as its factorization.

1662716160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1662716160 is about 40776.4167135858. The cubic root of 1662716160 is about 1184.6935916642.

The spelling of 1662716160 in words is "one billion, six hundred sixty-two million, seven hundred sixteen thousand, one hundred sixty".