663417090 has 144 divisors (see below), whose sum is σ = 2011224384. Its totient is φ = 148625280.

The previous prime is 663417089. The next prime is 663417103. The reversal of 663417090 is 90714366.

663417090 is a `hidden beast` number, since 6 + 634 + 17 + 0 + 9 + 0 = 666.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 2344089 + ... + 2344371.

It is an arithmetic number, because the mean of its divisors is an integer number (13966836).

Almost surely, 2^663417090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663417090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005612192).

663417090 is an abundant number, since it is smaller than the sum of its proper divisors (1347807294).

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

663417090 is a wasteful number, since it uses less digits than its factorization.

663417090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 663417090 is about 25756.8843224486. The cubic root of 663417090 is about 872.1587689260.

The spelling of 663417090 in words is "six hundred sixty-three million, four hundred seventeen thousand, ninety".