1662003360 has 168 divisors, whose sum is σ = 5887444500. Its totient is φ = 443169792.

The previous prime is 1662003353. The next prime is 1662003361. The reversal of 1662003360 is 633002661.

1662003360 is a `hidden beast` number, since 1 + 6 + 620 + 0 + 3 + 36 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1657792656 + 4210704 = 40716^2 + 2052^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1662003361) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 109516 + ... + 123764.

Almost surely, 2^1662003360 is an apocalyptic number.

1662003360 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 1662003360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2943722250).

1662003360 is an abundant number, since it is smaller than the sum of its proper divisors (4225441140).

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

1662003360 is an equidigital number, since it uses as much as digits as its factorization.

1662003360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14282 (or 14259 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 1662003360 is about 40767.6754304191. The cubic root of 1662003360 is about 1184.5242762769.

The spelling of 1662003360 in words is "one billion, six hundred sixty-two million, three thousand, three hundred sixty".