663919120 has 80 divisors (see below), whose sum is σ = 1611758448. Its totient is φ = 254085120.

The previous prime is 663919111. The next prime is 663919141. The reversal of 663919120 is 21919366.

It can be written as a sum of positive squares in 8 ways, for example, as 135424 + 663783696 = 368^2 + 25764^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 663919120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178722 + ... + 182398.

Almost surely, 2^663919120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 663919120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805879224).

663919120 is an abundant number, since it is smaller than the sum of its proper divisors (947839328).

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

663919120 is a wasteful number, since it uses less digits than its factorization.

663919120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3788 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 37.

The square root of 663919120 is about 25766.6280292940. The cubic root of 663919120 is about 872.3787107366.

The spelling of 663919120 in words is "six hundred sixty-three million, nine hundred nineteen thousand, one hundred twenty".