663006720 has 160 divisors (see below), whose sum is σ = 2138970240. Its totient is φ = 175185920.

The previous prime is 663006719. The next prime is 663006781. The reversal of 663006720 is 27600366.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1005751 + ... + 1006409.

It is an arithmetic number, because the mean of its divisors is an integer number (13368564).

Almost surely, 2^663006720 is an apocalyptic number.

663006720 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 663006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1069485120).

663006720 is an abundant number, since it is smaller than the sum of its proper divisors (1475963520).

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

663006720 is a wasteful number, since it uses less digits than its factorization.

663006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 663006720 is about 25748.9168704239. The cubic root of 663006720 is about 871.9789013777.

The spelling of 663006720 in words is "six hundred sixty-three million, six thousand, seven hundred twenty".