1320654000 has 160 divisors (see below), whose sum is σ = 4339168704. Its totient is φ = 345446400.

The previous prime is 1320653989. The next prime is 1320654007. The reversal of 1320654000 is 4560231.

It is a happy number.

1320654000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1320654007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 315924 + ... + 320076.

Almost surely, 2^1320654000 is an apocalyptic number.

1320654000 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 1320654000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2169584352).

1320654000 is an abundant number, since it is smaller than the sum of its proper divisors (3018514704).

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

1320654000 is a wasteful number, since it uses less digits than its factorization.

1320654000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4232 (or 4216 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 1320654000 is about 36340.8035134062. The cubic root of 1320654000 is about 1097.1424453976.

The spelling of 1320654000 in words is "one billion, three hundred twenty million, six hundred fifty-four thousand".