1663662240 has 240 divisors, whose sum is σ = 5920509672. Its totient is φ = 439934976.

The previous prime is 1663662233. The next prime is 1663662241. The reversal of 1663662240 is 422663661.

1663662240 is a `hidden beast` number, since 16 + 636 + 6 + 2 + 2 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 978688656 + 684973584 = 31284^2 + 26172^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a junction number, because it is equal to n+sod(n) for n = 1663662195 and 1663662204.

It is not an unprimeable number, because it can be changed into a prime (1663662241) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1775052 + ... + 1775988.

Almost surely, 2^1663662240 is an apocalyptic number.

1663662240 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 1663662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960254836).

1663662240 is an abundant number, since it is smaller than the sum of its proper divisors (4256847432).

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

1663662240 is a wasteful number, since it uses less digits than its factorization.

1663662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 1663662240 is about 40788.0158870225. The cubic root of 1663662240 is about 1184.9182446401.

The spelling of 1663662240 in words is "one billion, six hundred sixty-three million, six hundred sixty-two thousand, two hundred forty".