663606000 has 160 divisors (see below), whose sum is σ = 2377377600. Its totient is φ = 176947200.

The previous prime is 663605993. The next prime is 663606023. The reversal of 663606000 is 606366.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47856 + ... + 60144.

It is an arithmetic number, because the mean of its divisors is an integer number (14858610).

Almost surely, 2^663606000 is an apocalyptic number.

663606000 is a gapful number since it is divisible by the number (60) 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 663606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188688800).

663606000 is an abundant number, since it is smaller than the sum of its proper divisors (1713771600).

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

663606000 is a wasteful number, since it uses less digits than its factorization.

663606000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12321 (or 12299 counting only the distinct ones).

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

The square root of 663606000 is about 25760.5512363381. The cubic root of 663606000 is about 872.2415443420.

The spelling of 663606000 in words is "six hundred sixty-three million, six hundred six thousand".