1356030720 has 720 divisors, whose sum is σ = 5609308320. Its totient is φ = 309657600.

The previous prime is 1356030719. The next prime is 1356030743. The reversal of 1356030720 is 270306531.

It is a happy number.

1356030720 is a `hidden beast` number, since 1 + 3 + 560 + 30 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 33073900 + ... + 33073940.

It is an arithmetic number, because the mean of its divisors is an integer number (7790706).

Almost surely, 2^1356030720 is an apocalyptic number.

1356030720 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 1356030720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804654160).

1356030720 is an abundant number, since it is smaller than the sum of its proper divisors (4253277600).

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

1356030720 is a wasteful number, since it uses less digits than its factorization.

1356030720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 1356030720 is about 36824.3223970245. The cubic root of 1356030720 is about 1106.8527356045.

The spelling of 1356030720 in words is "one billion, three hundred fifty-six million, thirty thousand, seven hundred twenty".