1352947680 has 288 divisors, whose sum is σ = 5346432000. Its totient is φ = 305150976.

The previous prime is 1352947679. The next prime is 1352947723. The reversal of 1352947680 is 867492531.

1352947680 is a `hidden beast` number, since 1 + 3 + 529 + 47 + 6 + 80 = 666.

1352947680 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

1352947680 is strictly pandigital in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 795471 + ... + 797169.

It is an arithmetic number, because the mean of its divisors is an integer number (18564000).

It is a 1-persistent number, because it is pandigital, but 2⋅1352947680 = 2705895360 is not.

Almost surely, 2^1352947680 is an apocalyptic number.

1352947680 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 1352947680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673216000).

1352947680 is an abundant number, since it is smaller than the sum of its proper divisors (3993484320).

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

1352947680 is a wasteful number, since it uses less digits than its factorization.

1352947680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1352947680 is about 36782.4371133833. The cubic root of 1352947680 is about 1106.0132608416.

The spelling of 1352947680 in words is "one billion, three hundred fifty-two million, nine hundred forty-seven thousand, six hundred eighty".